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4223100312240 = 243541743577627
BaseRepresentation
bin111101011101000100011…
…001001101101010110000
3112221201120010021211112120
4331131010121031222300
51023142402134442430
612552022051554240
7614052235242165
oct75350431155260
915851503254476
104223100312240
111389009037307
1258256b8bb980
1324830cbc9704
1410858338206c
1574cbc456610
hex3d74464dab0

4223100312240 has 160 divisors (see below), whose sum is σ = 13428991489536. Its totient is φ = 1097212139520.

The previous prime is 4223100312239. The next prime is 4223100312247. The reversal of 4223100312240 is 422130013224.

It is a happy number.

4223100312240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4223100312240.

It is not an unprimeable number, because it can be changed into a prime (4223100312247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7022307 + ... + 7599933.

Almost surely, 24223100312240 is an apocalyptic number.

4223100312240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4223100312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714495744768).

4223100312240 is an abundant number, since it is smaller than the sum of its proper divisors (9205891177296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4223100312240 is a wasteful number, since it uses less digits than its factorization.

4223100312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578427 (or 578421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4223100312240 its reverse (422130013224), we get a palindrome (4645230325464).

The spelling of 4223100312240 in words is "four trillion, two hundred twenty-three billion, one hundred million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 743 820 984 1230 1486 1640 1968 2229 2460 2972 3280 3715 4458 4920 5944 7430 8916 9840 11145 11888 14860 17832 22290 29720 30463 35664 44580 59440 60926 89160 91389 121852 152315 178320 182778 243704 304630 365556 456945 487408 577627 609260 731112 913890 1155254 1218520 1462224 1732881 1827780 2310508 2437040 2888135 3465762 3655560 4621016 5776270 6931524 7311120 8664405 9242032 11552540 13863048 17328810 23105080 23682707 27726096 34657620 46210160 47365414 69315240 71048121 94730828 118413535 138630480 142096242 189461656 236827070 284192484 355240605 378923312 429176861 473654140 568384968 710481210 858353722 947308280 1136769936 1287530583 1420962420 1716707444 1894616560 2145884305 2575061166 2841924840 3433414888 4291768610 5150122332 5683849680 6437652915 6866829776 8583537220 10300244664 12875305830 17167074440 17596251301 20600489328 25750611660 34334148880 35192502602 51501223320 52788753903 70385005204 87981256505 103002446640 105577507806 140770010408 175962513010 211155015612 263943769515 281540020816 351925026020 422310031224 527887539030 703850052040 844620062448 1055775078060 1407700104080 2111550156120 4223100312240