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222825844994640 = 2435928441020811
BaseRepresentation
bin110010101010100010101111…
…010101100111001001010000
31002012221221110020222220201120
4302222202233111213021100
5213201234312304312030
62105524440253002240
764635431106434226
oct6252425725471120
91065857406886646
10222825844994640
1164aa9a01494968
1220ba9184783380
139744505394a84
143d04b8535cb16
151ab632917b010
hexcaa8af567250

222825844994640 has 40 divisors (see below), whose sum is σ = 690760119484128. Its totient is φ = 59420225331840.

The previous prime is 222825844994609. The next prime is 222825844994663. The reversal of 222825844994640 is 46499448528222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464220510166 + ... + 464220510645.

Almost surely, 2222825844994640 is an apocalyptic number.

222825844994640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222825844994640 is an abundant number, since it is smaller than the sum of its proper divisors (467934274489488).

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

222825844994640 is a wasteful number, since it uses less digits than its factorization.

222825844994640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928441020827 (or 928441020821 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 69.

The spelling of 222825844994640 in words is "two hundred twenty-two trillion, eight hundred twenty-five billion, eight hundred forty-four million, nine hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 928441020811 1856882041622 2785323062433 3713764083244 4642205104055 5570646124866 7427528166488 9284410208110 11141292249732 13926615312165 14855056332976 18568820416220 22282584499464 27853230624330 37137640832440 44565168998928 55706461248660 74275281664880 111412922497320 222825844994640