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228742584768 = 263444124727
BaseRepresentation
bin1101010100001000011…
…1101101100111000000
3210212102110112021110000
43111002013231213000
512221431100203033
6253025523240000
722345311614145
oct3250207554700
9725373467400
10228742584768
1189011253595
12383b9519000
1318755039499
14b0dd5323cc
155e3b9c0a13
hex35421ed9c0

228742584768 has 70 divisors (see below), whose sum is σ = 678064695176. Its totient is φ = 76247526528.

The previous prime is 228742584713. The next prime is 228742584787. The reversal of 228742584768 is 867485247822.

228742584768 is a `hidden beast` number, since 2 + 2 + 8 + 7 + 42 + 584 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×2287425847682 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22057180 + ... + 22067547.

Almost surely, 2228742584768 is an apocalyptic number.

It is an amenable number.

228742584768 is an abundant number, since it is smaller than the sum of its proper divisors (449322110408).

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

228742584768 is an equidigital number, since it uses as much as digits as its factorization.

228742584768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44124751 (or 44124732 counting only the distinct ones).

The product of its digits is 96337920, while the sum is 63.

The spelling of 228742584768 in words is "two hundred twenty-eight billion, seven hundred forty-two million, five hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 44124727 88249454 132374181 176498908 264748362 352997816 397122543 529496724 705995632 794245086 1058993448 1191367629 1411991264 1588490172 2117986896 2382735258 2823982528 3176980344 3574102887 4235973792 4765470516 6353960688 7148205774 8471947584 9530941032 12707921376 14296411548 19061882064 25415842752 28592823096 38123764128 57185646192 76247528256 114371292384 228742584768