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22893600816 = 2432372116131
BaseRepresentation
bin10101010100100100…
…001010000000110000
32012002111100102100100
4111110210022000300
5333341230211231
614303413152400
71440216252612
oct252444120060
965074312310
1022893600816
119788928159
12452b02b700
13220b017a78
141172712db2
158dece41e6
hex55490a030

22893600816 has 90 divisors (see below), whose sum is σ = 65849282772. Its totient is φ = 7424887680.

The previous prime is 22893600797. The next prime is 22893600823. The reversal of 22893600816 is 61800639822.

22893600816 is a `hidden beast` number, since 2 + 28 + 9 + 3 + 600 + 8 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139071 + ... + 255201.

Almost surely, 222893600816 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 22893600816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32924641386).

22893600816 is an abundant number, since it is smaller than the sum of its proper divisors (42955681956).

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

22893600816 is a wasteful number, since it uses less digits than its factorization.

22893600816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116219 (or 116173 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22893600816 in words is "twenty-two billion, eight hundred ninety-three million, six hundred thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1369 1776 2664 2738 4107 5328 5476 8214 10952 12321 16428 21904 24642 32856 49284 65712 98568 116131 197136 232262 348393 464524 696786 929048 1045179 1393572 1858096 2090358 2787144 4180716 4296847 5574288 8361432 8593694 12890541 16722864 17187388 25781082 34374776 38671623 51562164 68749552 77343246 103124328 154686492 158983339 206248656 309372984 317966678 476950017 618745968 635933356 953900034 1271866712 1430850051 1907800068 2543733424 2861700102 3815600136 5723400204 7631200272 11446800408 22893600816