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228900090624 = 2831791665067
BaseRepresentation
bin1101010100101110000…
…0100011001100000000
3210212211102220101212020
43111023200203030000
512222241410344444
6253053311201440
722352233444662
oct3251340431400
9725742811766
10228900090624
1189092152017
1238442216280
131877b86590a
14b116412532
155e4a734119
hex354b823300

228900090624 has 72 divisors (see below), whose sum is σ = 612611818560. Its totient is φ = 75873727488.

The previous prime is 228900090613. The next prime is 228900090637. The reversal of 228900090624 is 426090009822.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 695062 + ... + 970005.

It is an arithmetic number, because the mean of its divisors is an integer number (8508497480).

Almost surely, 2228900090624 is an apocalyptic number.

228900090624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228900090624 is an abundant number, since it is smaller than the sum of its proper divisors (383711727936).

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

228900090624 is a wasteful number, since it uses less digits than its factorization.

228900090624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665265 (or 1665251 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 228900090624 in words is "two hundred twenty-eight billion, nine hundred million, ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 256 358 384 537 716 768 1074 1432 2148 2864 4296 5728 8592 11456 17184 22912 34368 45824 68736 137472 1665067 3330134 4995201 6660268 9990402 13320536 19980804 26641072 39961608 53282144 79923216 106564288 159846432 213128576 298046993 319692864 426257152 596093986 639385728 894140979 1192187972 1278771456 1788281958 2384375944 3576563916 4768751888 7153127832 9537503776 14306255664 19075007552 28612511328 38150015104 57225022656 76300030208 114450045312 228900090624