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233045202540332 = 227132941538464317
BaseRepresentation
bin110100111111010000010000…
…100000111001011100101100
31010120010220101212011001200002
4310333100100200321130230
5221021203033322242312
62143351253231323432
7100041650240354030
oct6477202040713454
91116126355131602
10233045202540332
1168289a083a3726
122217987a980578
13a0060b70a57c0
14417963b3ba1c0
151be2091ba74c2
hexd3f41083972c

233045202540332 has 96 divisors (see below), whose sum is σ = 531916591893120. Its totient is φ = 86843524884480.

The previous prime is 233045202540287. The next prime is 233045202540407.

233045202540332 is nontrivially palindromic in base 10.

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, 268799363 + ... + 269664954.

It is an arithmetic number, because the mean of its divisors is an integer number (5540797832220).

Almost surely, 2233045202540332 is an apocalyptic number.

It is an amenable number.

233045202540332 is an abundant number, since it is smaller than the sum of its proper divisors (298871389352788).

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

233045202540332 is a wasteful number, since it uses less digits than its factorization.

233045202540332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538464411 (or 538464409 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 38.

It can be divided in two parts, 23304520 and 2540332, that added together give a palindrome (25844852).

The spelling of 233045202540332 in words is "two hundred thirty-three trillion, forty-five billion, two hundred two million, five hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 29 41 52 58 82 91 116 164 182 203 287 364 377 406 533 574 754 812 1066 1148 1189 1508 2132 2378 2639 3731 4756 5278 7462 8323 10556 14924 15457 16646 30914 33292 61828 108199 216398 432796 538464317 1076928634 2153857268 3769250219 7000036121 7538500438 14000072242 15077000876 15615465193 22077036997 28000144484 31230930386 44154073994 49000252847 62461860772 88308147988 98000505694 109308256351 154539258979 196001011388 203001047509 218616512702 287001480961 309078517958 406002095018 437233025404 574002961922 618157035916 640234072913 812004190036 1148005923844 1280468145826 1421007332563 2009010366727 2560936291652 2842014665126 4018020733454 4481638510391 5684029330252 8036041466908 8323042947869 8963277020782 16646085895738 17926554041564 33292171791476 58261300635083 116522601270166 233045202540332