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22006852736 = 271125924083
BaseRepresentation
bin10100011111101101…
…011110110010000000
32002210200202221122212
4110133231132302000
5330032223241421
614035415121252
71406231106341
oct243755366200
962720687585
1022006852736
119373327200
124322073228
1320c93b116b
1410caa460c8
1588c033e5b
hex51fb5ec80

22006852736 has 96 divisors (see below), whose sum is σ = 49008531600. Its totient is φ = 9833162240.

The previous prime is 22006852729. The next prime is 22006852741. The reversal of 22006852736 is 63725860022.

It is a junction number, because it is equal to n+sod(n) for n = 22006852693 and 22006852702.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 901751 + ... + 925833.

Almost surely, 222006852736 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 22006852736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24504265800).

22006852736 is an abundant number, since it is smaller than the sum of its proper divisors (27001678864).

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

22006852736 is a wasteful number, since it uses less digits than its factorization.

22006852736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24178 (or 24155 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 22006852736 in words is "twenty-two billion, six million, eight hundred fifty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 121 128 176 236 242 352 472 484 649 704 944 968 1298 1408 1888 1936 2596 3776 3872 5192 7139 7552 7744 10384 14278 15488 20768 24083 28556 41536 48166 57112 83072 96332 114224 192664 228448 264913 385328 456896 529826 770656 913792 1059652 1420897 1541312 2119304 2841794 2914043 3082624 4238608 5683588 5828086 8477216 11367176 11656172 15629867 16954432 22734352 23312344 31259734 33908864 45468704 46624688 62519468 90937408 93249376 125038936 171928537 181874816 186498752 250077872 343857074 372997504 500155744 687714148 1000311488 1375428296 2000622976 2750856592 5501713184 11003426368 22006852736