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221480251104 = 2537418038627
BaseRepresentation
bin1100111001000101000…
…0000110111011100000
3210011200100011111112010
43032101100012323200
512112042421013404
6245425134232520
722000326033540
oct3162120067340
9704610144463
10221480251104
1185a24911842
1236b11355740
1317b68593028
14aa10c09320
155b64138189
hex3391406ee0

221480251104 has 96 divisors (see below), whose sum is σ = 680646710016. Its totient is φ = 61736647680.

The previous prime is 221480251067. The next prime is 221480251141. The reversal of 221480251104 is 401152084122.

It is an interprime number because it is at equal distance from previous prime (221480251067) and next prime (221480251141).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3991762 + ... + 4046865.

It is an arithmetic number, because the mean of its divisors is an integer number (7090069896).

Almost surely, 2221480251104 is an apocalyptic number.

221480251104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221480251104 is an abundant number, since it is smaller than the sum of its proper divisors (459166458912).

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

221480251104 is a wasteful number, since it uses less digits than its factorization.

221480251104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8038688 (or 8038680 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 221480251104 in words is "two hundred twenty-one billion, four hundred eighty million, two hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 9184 13776 27552 8038627 16077254 24115881 32154508 48231762 56270389 64309016 96463524 112540778 128618032 168811167 192927048 225081556 257236064 329583707 337622334 385854096 450163112 659167414 675244668 771708192 900326224 988751121 1318334828 1350489336 1800652448 1977502242 2307085949 2636669656 2700978672 3955004484 4614171898 5273339312 5401957344 6921257847 7910008968 9228343796 10546678624 13842515694 15820017936 18456687592 27685031388 31640035872 36913375184 55370062776 73826750368 110740125552 221480251104