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22300117168 = 2472436531013
BaseRepresentation
bin10100110001001100…
…001100100010110000
32010120010121022211111
4110301030030202300
5331132312222133
614124452523104
71416421603600
oct246114144260
963503538744
1022300117168
1195039200aa
1243a4320494
132145091204
141117984c00
158a7b621cd
hex53130c8b0

22300117168 has 120 divisors (see below), whose sum is σ = 51559052688. Its totient is φ = 9311436288.

The previous prime is 22300117159. The next prime is 22300117171. The reversal of 22300117168 is 86171100322.

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 23 ways as a sum of consecutive naturals, for example, 22013430 + ... + 22014442.

Almost surely, 222300117168 is an apocalyptic number.

22300117168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22300117168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779526344).

22300117168 is an abundant number, since it is smaller than the sum of its proper divisors (29258935520).

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

22300117168 is a wasteful number, since it uses less digits than its factorization.

22300117168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 22300117168 in words is "twenty-two billion, three hundred million, one hundred seventeen thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 301 344 392 602 653 688 784 1013 1204 1306 2026 2107 2408 2612 4052 4214 4571 4816 5224 7091 8104 8428 9142 10448 14182 16208 16856 18284 28079 28364 31997 33712 36568 43559 49637 56158 56728 63994 73136 87118 99274 112316 113456 127988 174236 196553 198548 224632 255976 304913 348472 393106 397096 449264 511952 609826 661489 696944 786212 794192 1219652 1322978 1375871 1572424 2134391 2439304 2645956 2751742 3144848 4268782 4630423 4878608 5291912 5503484 8537564 9260846 10583824 11006968 17075128 18521692 22013936 28444027 32412961 34150256 37043384 56888054 64825922 74086768 113776108 129651844 199108189 227552216 259303688 398216378 455104432 518607376 796432756 1393757323 1592865512 2787514646 3185731024 5575029292 11150058584 22300117168