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23234264235 = 33571310131867
BaseRepresentation
bin10101101000110111…
…101011110010101011
32012222020100220201000
4111220313223302223
5340040432423420
614401302530043
71451523662460
oct255067536253
965866326630
1023234264235
119943155676
124605136923
132263782360
1411a5a6d667
1590eb86690
hex568debcab

23234264235 has 128 divisors (see below), whose sum is σ = 50914805760. Its totient is φ = 9789424128.

The previous prime is 23234264231. The next prime is 23234264239. The reversal of 23234264235 is 53246243232.

23234264235 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 4 + 2 + 642 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (23234264231) and next prime (23234264239).

It is not a de Polignac number, because 23234264235 - 22 = 23234264231 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23234264235.

It is not an unprimeable number, because it can be changed into a prime (23234264231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12443772 + ... + 12445638.

It is an arithmetic number, because the mean of its divisors is an integer number (397771920).

Almost surely, 223234264235 is an apocalyptic number.

23234264235 is an abundant number, since it is smaller than the sum of its proper divisors (27680541525).

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

23234264235 is a wasteful number, since it uses less digits than its factorization.

23234264235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2908 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

The spelling of 23234264235 in words is "twenty-three billion, two hundred thirty-four million, two hundred sixty-four thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1013 1365 1755 1867 2457 3039 4095 5065 5601 7091 9117 9335 12285 13069 13169 15195 16803 21273 24271 27351 28005 35455 39207 39507 45585 50409 63819 65345 65845 72813 84015 92183 106365 117621 118521 121355 136755 169897 191457 196035 197535 218439 252045 276549 319095 352863 355563 364065 460915 509691 588105 592605 655317 829647 849485 957285 1092195 1382745 1529073 1764315 1777815 1891271 2488941 2548455 3276585 4148235 4587219 5673813 7645365 9456355 12444705 13238897 17021439 22936095 24586523 28369065 39716691 51064317 66194485 73759569 85107195 119150073 122932615 172105661 198583455 221278707 255321585 357450219 368797845 516316983 595750365 663836121 860528305 1106393535 1548950949 1787251095 2581584915 3319180605 4646852847 7744754745 23234264235