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23224642232 = 23112731372399
BaseRepresentation
bin10101101000010010…
…111110101010111000
32012221120021001210112
4111220102332222320
5340031002022412
614400320403452
71451346126131
oct255022765270
965846231715
1023224642232
119938783500
124601a76588
13226179386c
1411a4686c88
1590ddd5722
hex5684beab8

23224642232 has 96 divisors (see below), whose sum is σ = 48895056000. Its totient is φ = 10331735040.

The previous prime is 23224642211. The next prime is 23224642283.

23224642232 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9679769 + ... + 9682167.

It is an arithmetic number, because the mean of its divisors is an integer number (509323500).

Almost surely, 223224642232 is an apocalyptic number.

23224642232 is a gapful number since it is divisible by the number (22) 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 23224642232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24447528000).

23224642232 is an abundant number, since it is smaller than the sum of its proper divisors (25670413768).

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

23224642232 is a wasteful number, since it uses less digits than its factorization.

23224642232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2622 counting only the distinct ones).

The product of its digits is 55296, while the sum is 32.

The spelling of 23224642232 in words is "twenty-three billion, two hundred twenty-four million, six hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 73 88 121 137 146 242 274 292 484 548 584 803 968 1096 1507 1606 2399 3014 3212 4798 6028 6424 8833 9596 10001 12056 16577 17666 19192 20002 26389 33154 35332 40004 52778 66308 70664 80008 105556 110011 132616 175127 211112 220022 290279 328663 350254 440044 580558 657326 700508 880088 1161116 1210121 1314652 1401016 1926397 2322232 2420242 2629304 3615293 3852794 4840484 7230586 7705588 9680968 14461172 15411176 21190367 23992399 28922344 39768223 42380734 47984798 79536446 84761468 95969596 159072892 169522936 191939192 263916389 318145784 527832778 1055665556 2111331112 2903080279 5806160558 11612321116 23224642232