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4223730960 = 243352298539
BaseRepresentation
bin1111101111000001…
…0000010100010000
3101220100200202122000
43323300100110100
532122233342320
61535041114000
7206445056301
oct37360202420
911810622560
104223730960
111878205649
1299a628900
135240973b7
142c0d527a8
1519ac1ac90
hexfbc10510

4223730960 has 160 divisors (see below), whose sum is σ = 14613648000. Its totient is φ = 1121278464.

The previous prime is 4223730949. The next prime is 4223730977. The reversal of 4223730960 is 690373224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490371 + ... + 498909.

It is an arithmetic number, because the mean of its divisors is an integer number (91335300).

Almost surely, 24223730960 is an apocalyptic number.

4223730960 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 4223730960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7306824000).

4223730960 is an abundant number, since it is smaller than the sum of its proper divisors (10389917040).

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

4223730960 is a wasteful number, since it uses less digits than its factorization.

4223730960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8778 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4223730960 is about 64990.2374207080. The cubic root of 4223730960 is about 1616.4616875955.

The spelling of 4223730960 in words is "four billion, two hundred twenty-three million, seven hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 229 240 270 360 432 458 540 687 720 916 1080 1145 1374 1832 2061 2160 2290 2748 3435 3664 4122 4580 5496 6183 6870 8244 8539 9160 10305 10992 12366 13740 16488 17078 18320 20610 24732 25617 27480 30915 32976 34156 41220 42695 49464 51234 54960 61830 68312 76851 82440 85390 98928 102468 123660 128085 136624 153702 164880 170780 204936 230553 247320 256170 307404 341560 384255 409872 461106 494640 512340 614808 683120 768510 922212 1024680 1152765 1229616 1537020 1844424 1955431 2049360 2305530 3074040 3688848 3910862 4611060 5866293 6148080 7821724 9222120 9777155 11732586 15643448 17598879 18444240 19554310 23465172 29331465 31286896 35197758 39108620 46930344 52796637 58662930 70395516 78217240 87994395 93860688 105593274 117325860 140791032 156434480 175988790 211186548 234651720 263983185 281582064 351977580 422373096 469303440 527966370 703955160 844746192 1055932740 1407910320 2111865480 4223730960