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4212204320 = 255374316547
BaseRepresentation
bin1111101100010001…
…0010001100100000
3101212120000011001102
43323010102030200
532111311014240
61533550053532
7206245101032
oct37304221440
911776004042
104212204320
1118717524a5
129967aa2a8
1352188c9bc
142bd5d1c52
15199be0815
hexfb112320

4212204320 has 96 divisors (see below), whose sum is σ = 10458600768. Its totient is φ = 1601123328.

The previous prime is 4212204313. The next prime is 4212204341. The reversal of 4212204320 is 234022124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4212204292 and 4212204301.

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 15 ways as a sum of consecutive naturals, for example, 246287 + ... + 262833.

It is an arithmetic number, because the mean of its divisors is an integer number (108943758).

Almost surely, 24212204320 is an apocalyptic number.

4212204320 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 4212204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229300384).

4212204320 is an abundant number, since it is smaller than the sum of its proper divisors (6246396448).

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

4212204320 is a wasteful number, since it uses less digits than its factorization.

4212204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16642 (or 16634 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4212204320 is about 64901.4970551527. The cubic root of 4212204320 is about 1614.9898966418.

Adding to 4212204320 its reverse (234022124), we get a palindrome (4446226444).

The spelling of 4212204320 in words is "four billion, two hundred twelve million, two hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 43 74 80 86 148 160 172 185 215 296 344 370 430 592 688 740 860 1184 1376 1480 1591 1720 2960 3182 3440 5920 6364 6880 7955 12728 15910 16547 25456 31820 33094 50912 63640 66188 82735 127280 132376 165470 254560 264752 330940 529504 612239 661880 711521 1224478 1323760 1423042 2448956 2647520 2846084 3061195 3557605 4897912 5692168 6122390 7115210 9795824 11384336 12244780 14230420 19591648 22768672 24489560 26326277 28460840 48979120 52652554 56921680 97958240 105305108 113843360 131631385 210610216 263262770 421220432 526525540 842440864 1053051080 2106102160 4212204320