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228577102704 = 24326412476351
BaseRepresentation
bin1101010011100001000…
…0011100101101110000
3210211222221010220201200
43110320100130231300
512221111214241304
6253001252331200
722341232213146
oct3247020345560
9724887126650
10228577102704
1188a368a7455
1238372013b00
13187299796c2
14b0c5577596
155e2c1d3e39
hex353841cb70

228577102704 has 60 divisors (see below), whose sum is σ = 640696647552. Its totient is φ = 76073472000.

The previous prime is 228577102687. The next prime is 228577102729. The reversal of 228577102704 is 407201775822.

228577102704 is a `hidden beast` number, since 2 + 2 + 8 + 577 + 1 + 0 + 2 + 70 + 4 = 666.

It is a super-2 number, since 2×2285771027042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 228577102704.

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 11 ways as a sum of consecutive naturals, for example, 1145872 + ... + 1330479.

Almost surely, 2228577102704 is an apocalyptic number.

228577102704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228577102704 is an abundant number, since it is smaller than the sum of its proper divisors (412119544848).

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

228577102704 is a wasteful number, since it uses less digits than its factorization.

228577102704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2477006 (or 2476997 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 228577102704 in words is "two hundred twenty-eight billion, five hundred seventy-seven million, one hundred two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 641 1282 1923 2564 3846 5128 5769 7692 10256 11538 15384 23076 30768 46152 92304 2476351 4952702 7429053 9905404 14858106 19810808 22287159 29716212 39621616 44574318 59432424 89148636 118864848 178297272 356594544 1587340991 3174681982 4762022973 6349363964 9524045946 12698727928 14286068919 19048091892 25397455856 28572137838 38096183784 57144275676 76192367568 114288551352 228577102704