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23291409330 = 2335780915233
BaseRepresentation
bin10101101100010001…
…101011001110110010
32020010012220012001000
4111230101223032302
5340200100044310
614411103422430
71453116466320
oct255421531662
966105805030
1023291409330
119972436622
1246202b4a16
13227256ca17
1411ad4a6d10
15914bc34c0
hex56c46b3b2

23291409330 has 128 divisors (see below), whose sum is σ = 71075750400. Its totient is φ = 5316820992.

The previous prime is 23291409307. The next prime is 23291409343. The reversal of 23291409330 is 3390419232.

23291409330 is a `hidden beast` number, since 232 + 91 + 4 + 0 + 9 + 330 = 666.

It is a super-2 number, since 2×232914093302 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1521394 + ... + 1536626.

It is an arithmetic number, because the mean of its divisors is an integer number (555279300).

Almost surely, 223291409330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23291409330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35537875200).

23291409330 is an abundant number, since it is smaller than the sum of its proper divisors (47784341070).

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

23291409330 is a wasteful number, since it uses less digits than its factorization.

23291409330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16065 (or 16059 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 23291409330 in words is "twenty-three billion, two hundred ninety-one million, four hundred nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 809 945 1618 1890 2427 4045 4854 5663 7281 8090 11326 12135 14562 15233 16989 21843 24270 28315 30466 33978 36405 43686 45699 50967 56630 72810 76165 84945 91398 101934 106631 109215 137097 152330 152901 169890 213262 218430 228495 254835 274194 305802 319893 411291 456990 509670 533155 639786 685485 764505 822582 959679 1066310 1370970 1529010 1599465 1919358 2056455 2879037 3198930 4112910 4798395 5758074 9596790 12323497 14395185 24646994 28790370 36970491 61617485 73940982 86264479 110911473 123234970 172528958 184852455 221822946 258793437 332734419 369704910 431322395 517586874 554557365 665468838 776380311 862644790 1109114730 1293967185 1552760622 1663672095 2329140933 2587934370 3327344190 3881901555 4658281866 7763803110 11645704665 23291409330