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221399873312 = 2522323732
BaseRepresentation
bin1100111000110001110…
…1011111011100100000
3210011110201220212220212
43032030131133130200
512111411331421222
6245413143353252
721665331605132
oct3161435373440
9704421825825
10221399873312
1185993502812
1236aaa452828
1317b54a2c9c7
14aa04285052
155b5c05c6e2
hex338c75f720

221399873312 has 54 divisors (see below), whose sum is σ = 439021381617. Its totient is φ = 109908072576.

The previous prime is 221399873293. The next prime is 221399873329. The reversal of 221399873312 is 213378993122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 220978967056 + 420906256 = 470084^2 + 20516^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332716.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 593565158 + ... + 593565530.

Almost surely, 2221399873312 is an apocalyptic number.

It is an amenable number.

221399873312 is a deficient number, since it is larger than the sum of its proper divisors (217621508305).

221399873312 is an frugal number, since it uses more digits than its factorization.

221399873312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 598 counting only the distinct ones).

The product of its digits is 979776, while the sum is 50.

Multiplying 221399873312 by its sum of digits (50), we get a square (11069993665600 = 33271602).

The spelling of 221399873312 in words is "two hundred twenty-one billion, three hundred ninety-nine million, eight hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 223 373 446 746 892 1492 1784 2984 3568 5968 7136 11936 49729 83179 99458 139129 166358 198916 278258 332716 397832 556516 665432 795664 1113032 1330864 1591328 2226064 2661728 4452128 18548917 31025767 37097834 62051534 74195668 124103068 148391336 248206136 296782672 496412272 593565344 992824544 6918746041 13837492082 27674984164 55349968328 110699936656 221399873312