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23254645232 = 24713731371597
BaseRepresentation
bin10101101010000101…
…011011100111110000
32020000122201101011202
4111222011123213300
5340111142121412
614403311430332
71452162136340
oct255205334760
966018641152
1023254645232
119953706175
12460bb253a8
132267a6a010
1411a8656d20
159118603c2
hex56a15b9f0

23254645232 has 160 divisors (see below), whose sum is σ = 56658790272. Its totient is φ = 9001746432.

The previous prime is 23254645187. The next prime is 23254645247.

23254645232 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 31 ways as a sum of consecutive naturals, for example, 14560658 + ... + 14562254.

Almost surely, 223254645232 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 23254645232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28329395136).

23254645232 is an abundant number, since it is smaller than the sum of its proper divisors (33404145040).

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

23254645232 is a wasteful number, since it uses less digits than its factorization.

23254645232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1829 counting only the distinct ones).

The product of its digits is 345600, while the sum is 38.

The spelling of 23254645232 in words is "twenty-three billion, two hundred fifty-four million, six hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 73 91 104 112 137 146 182 208 274 292 364 511 548 584 728 949 959 1022 1096 1168 1456 1597 1781 1898 1918 2044 2192 3194 3562 3796 3836 4088 6388 6643 7124 7592 7672 8176 10001 11179 12467 12776 13286 14248 15184 15344 20002 20761 22358 24934 25552 26572 28496 40004 41522 44716 49868 53144 70007 80008 83044 89432 99736 106288 116581 130013 140014 145327 160016 166088 178864 199472 218789 233162 260026 280028 290654 332176 437578 466324 520052 560056 581308 816067 875156 910091 932648 1040104 1120112 1162616 1515553 1531523 1632134 1750312 1820182 1865296 2080208 2325232 2844257 3031106 3063046 3264268 3500624 3640364 5688514 6062212 6126092 6528536 7280728 10608871 11377028 12124424 12252184 13057072 14561456 15971597 19909799 21217742 22754056 24248848 24504368 31943194 39819598 42435484 45508112 63886388 79639196 84870968 111801179 127772776 159278392 169741936 207630761 223602358 255545552 318556784 415261522 447204716 830523044 894409432 1453415327 1661046088 1788818864 2906830654 3322092176 5813661308 11627322616 23254645232