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22135105944 = 23327219330217
BaseRepresentation
bin10100100111010110…
…101110100110011000
32010010122002212222200
4110213112232212120
5330313041342234
614100240050200
71412346203400
oct244726564630
963118085880
1022135105944
119429765796
124359003960
132119b37833
1410ddaad800
15898419d99
hex5275ae998

22135105944 has 144 divisors (see below), whose sum is σ = 73407461400. Its totient is φ = 5991439104.

The previous prime is 22135105913. The next prime is 22135105957. The reversal of 22135105944 is 44950153122.

22135105944 is a `hidden beast` number, since 2 + 2 + 13 + 51 + 0 + 594 + 4 = 666.

It is a super-2 number, since 2×221351059442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22135105899 and 22135105908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98077 + ... + 232140.

Almost surely, 222135105944 is an apocalyptic number.

22135105944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22135105944 is an abundant number, since it is smaller than the sum of its proper divisors (51272355456).

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

22135105944 is a wasteful number, since it uses less digits than its factorization.

22135105944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330262 (or 330248 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 22135105944 in words is "twenty-two billion, one hundred thirty-five million, one hundred five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1764 1862 2394 2793 3192 3528 3724 4788 5586 7448 8379 9576 11172 16758 22344 33516 67032 330217 660434 990651 1320868 1981302 2311519 2641736 2971953 3962604 4623038 5943906 6274123 6934557 7925208 9246076 11887812 12548246 13869114 16180633 18492152 18822369 20803671 23775624 25096492 27738228 32361266 37644738 41607342 43918861 48541899 50192984 55476456 56467107 64722532 75289476 83214684 87837722 97083798 112934214 129445064 131756583 145625697 150578952 166429368 175675444 194167596 225868428 263513166 291251394 307432027 351350888 388335192 395269749 451736856 527026332 582502788 614864054 790539498 922296081 1054052664 1165005576 1229728108 1581078996 1844592162 2459456216 2766888243 3162157992 3689184324 5533776486 7378368648 11067552972 22135105944