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23232211220 = 225172319914929
BaseRepresentation
bin10101101000101111…
…110110100100010100
32012222002111121111102
4111220233312210110
5340034421224340
614401150525232
71451500352141
oct255057664424
965862447442
1023232211220
119941a83169
124604506818
132263213a5a
1411a56973c8
1590e8cd215
hex568bf6914

23232211220 has 96 divisors (see below), whose sum is σ = 54177984000. Its totient is φ = 8323375104.

The previous prime is 23232211147. The next prime is 23232211229. The reversal of 23232211220 is 2211223232.

It is a happy number.

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 = 23232211192 and 23232211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23232211229) 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, 1548716 + ... + 1563644.

It is an arithmetic number, because the mean of its divisors is an integer number (564354000).

Almost surely, 223232211220 is an apocalyptic number.

23232211220 is a gapful number since it is divisible by the number (20) 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 23232211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27088992000).

23232211220 is an abundant number, since it is smaller than the sum of its proper divisors (30945772780).

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

23232211220 is a wasteful number, since it uses less digits than its factorization.

23232211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15177 (or 15175 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23232211220 its reverse (2211223232), we get a palindrome (25443434452).

The spelling of 23232211220 in words is "twenty-three billion, two hundred thirty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 199 230 340 391 398 460 782 796 995 1564 1955 1990 3383 3910 3980 4577 6766 7820 9154 13532 14929 16915 18308 22885 29858 33830 45770 59716 67660 74645 77809 91540 149290 155618 253793 298580 311236 343367 389045 507586 686734 778090 1015172 1268965 1373468 1556180 1716835 2537930 2970871 3433670 5075860 5837239 5941742 6867340 11674478 11883484 14854355 23348956 29186195 29708710 50504807 58372390 59417420 68330033 101009614 116744780 136660066 202019228 252524035 273320132 341650165 505048070 683300330 1010096140 1161610561 1366600660 2323221122 4646442244 5808052805 11616105610 23232211220