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22450027904 = 271910191397
BaseRepresentation
bin10100111010001000…
…000011110110000000
32010221120200120200222
4110322020003312000
5331434201343104
614151410002212
71423222042253
oct247210036600
963846616628
1022450027904
119580501277
124426576368
13216a15b5a5
14112d84909a
158b5dc51be
hex53a203d80

22450027904 has 64 divisors (see below), whose sum is σ = 47545239600. Its totient is φ = 10528819200.

The previous prime is 22450027891. The next prime is 22450027913. The reversal of 22450027904 is 40972005422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199934 + ... + 291330.

Almost surely, 222450027904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22450027904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23772619800).

22450027904 is an abundant number, since it is smaller than the sum of its proper divisors (25095211696).

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

22450027904 is a wasteful number, since it uses less digits than its factorization.

22450027904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91531 (or 91519 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 22450027904 in words is "twenty-two billion, four hundred fifty million, twenty-seven thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 128 152 202 304 404 608 808 1216 1616 1919 2432 3232 3838 6464 7676 12928 15352 30704 61408 91397 122816 182794 245632 365588 731176 1462352 1736543 2924704 3473086 5849408 6946172 9231097 11698816 13892344 18462194 27784688 36924388 55569376 73848776 111138752 147697552 175390843 222277504 295395104 350781686 590790208 701563372 1181580416 1403126744 2806253488 5612506976 11225013952 22450027904