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228597013933344 = 25327113391375959
BaseRepresentation
bin110011111110100001100011…
…110011111110110100100000
31002222101122211221112010012100
4303332201203303332310200
5214430313141031331334
62130104003552130400
766102406052142210
oct6376414363766440
91088348757463170
10228597013933344
11669244a3943031
122177b771536a00
139a727b527aa04
144064223d88240
151b664ed9b7c99
hexcfe863cfed20

228597013933344 has 72 divisors (see below), whose sum is σ = 742940295289920. Its totient is φ = 65313432551808.

The previous prime is 228597013933339. The next prime is 228597013933349. The reversal of 228597013933344 is 443339310795822.

228597013933344 is a `hidden beast` number, since 2 + 2 + 8 + 597 + 0 + 1 + 3 + 9 + 3 + 3 + 34 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (228597013933339) and next prime (228597013933349).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (228597013933349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56695685964 + ... + 56695689995.

It is an arithmetic number, because the mean of its divisors is an integer number (10318615212360).

Almost surely, 2228597013933344 is an apocalyptic number.

228597013933344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228597013933344 is an abundant number, since it is smaller than the sum of its proper divisors (514343281356576).

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

228597013933344 is a wasteful number, since it uses less digits than its factorization.

228597013933344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113391375982 (or 113391375971 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 228597013933344 in words is "two hundred twenty-eight trillion, five hundred ninety-seven billion, thirteen million, nine hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 113391375959 226782751918 340174127877 453565503836 680348255754 793739631713 907131007672 1020522383631 1360696511508 1587479263426 1814262015344 2041044767262 2381218895139 2721393023016 3174958526852 3628524030688 4082089534524 4762437790278 5442786046032 6349917053704 7143656685417 8164179069048 9524875580556 10885572092064 12699834107408 14287313370834 16328358138096 19049751161112 25399668214816 28574626741668 32656716276192 38099502322224 57149253483336 76199004644448 114298506966672 228597013933344