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23201312232 = 2337223118537
BaseRepresentation
bin10101100110111001…
…111110110111101000
32012212221100210001110
4111212321332313220
5340004013442412
614354124350320
71450643620500
oct254671766750
965787323043
1023201312232
11992659930a
1245b60a53a0
1322599b5827
1411a1532a00
1590bd27d3c
hex566e7ede8

23201312232 has 96 divisors (see below), whose sum is σ = 67510307520. Its totient is φ = 6625301760.

The previous prime is 23201312231. The next prime is 23201312293. The reversal of 23201312232 is 23221310232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23201312199 and 23201312208.

It is not an unprimeable number, because it can be changed into a prime (23201312231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2713468 + ... + 2722004.

It is an arithmetic number, because the mean of its divisors is an integer number (703232370).

Almost surely, 223201312232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23201312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33755153760).

23201312232 is an abundant number, since it is smaller than the sum of its proper divisors (44308995288).

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

23201312232 is a wasteful number, since it uses less digits than its factorization.

23201312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10871 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 23201312232 its reverse (23221310232), we get a palindrome (46422622464).

The spelling of 23201312232 in words is "twenty-three billion, two hundred one million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2311 4622 6933 8537 9244 13866 16177 17074 18488 25611 27732 32354 34148 48531 51222 55464 59759 64708 68296 97062 102444 113239 119518 129416 179277 194124 204888 226478 239036 339717 358554 388248 418313 452956 478072 679434 717108 836626 905912 1254939 1358868 1434216 1673252 2509878 2717736 3346504 5019756 10039512 19729007 39458014 59187021 78916028 118374042 138103049 157832056 236748084 276206098 414309147 473496168 552412196 828618294 966721343 1104824392 1657236588 1933442686 2900164029 3314473176 3866885372 5800328058 7733770744 11600656116 23201312232