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221325304655332 = 221578091609270749
BaseRepresentation
bin110010010100101101010000…
…001010011110110111100100
31002000122111022000121200211001
4302110231100022132313210
5213002143210442432312
62102415235153523044
764422140242131343
oct6224552012366744
91060574260550731
10221325304655332
11645805975a2669
12209a63b0873484
139665b6b041287
143c922b8039b5a
151a8c2a464b057
hexc94b5029ede4

221325304655332 has 48 divisors (see below), whose sum is σ = 390512092950000. Its totient is φ = 109753216395264.

The previous prime is 221325304655311. The next prime is 221325304655359. The reversal of 221325304655332 is 233556403523122.

It can be written as a sum of positive squares in 8 ways, for example, as 10706088704256 + 210619215951076 = 3272016^2 + 14512726^2 .

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 15 ways as a sum of consecutive naturals, for example, 817320294 + ... + 817591042.

It is an arithmetic number, because the mean of its divisors is an integer number (8135668603125).

Almost surely, 2221325304655332 is an apocalyptic number.

It is an amenable number.

221325304655332 is a deficient number, since it is larger than the sum of its proper divisors (169186788294668).

221325304655332 is a wasteful number, since it uses less digits than its factorization.

221325304655332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273328 (or 273326 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 46.

The spelling of 221325304655332 in words is "two hundred twenty-one trillion, three hundred twenty-five billion, three hundred four million, six hundred fifty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 157 314 628 809 1609 1618 3218 3236 6436 127013 252613 254026 270749 505226 508052 541498 1010452 1082996 1301681 2603362 5206724 42507593 85015186 170030372 204363917 219035941 408727834 435635141 438071882 817455668 871270282 876143764 1742540564 34388642737 68394717137 68777285474 136789434274 137554570948 273578868548 352428829069 704857658138 1409715316276 55331326163833 110662652327666 221325304655332