Search a number
-
+
22194956784 = 24371113461933
BaseRepresentation
bin10100101010111011…
…000010100111110000
32010021210201121220110
4110222323002213300
5330423402104114
614110214541320
71414004006550
oct245273024760
963253647813
1022194956784
11945a5245a0
124375067840
132129361930
141107a0d160
1589d7dd759
hex52aec29f0

22194956784 has 160 divisors (see below), whose sum is σ = 76984072704. Its totient is φ = 5321456640.

The previous prime is 22194956767. The next prime is 22194956801. The reversal of 22194956784 is 48765949122.

It is an interprime number because it is at equal distance from previous prime (22194956767) and next prime (22194956801).

It is a super-2 number, since 2×221949567842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182919 + ... + 279014.

Almost surely, 222194956784 is an apocalyptic number.

22194956784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22194956784 is an abundant number, since it is smaller than the sum of its proper divisors (54789115920).

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

22194956784 is a wasteful number, since it uses less digits than its factorization.

22194956784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461975 (or 461969 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 22194956784 in words is "twenty-two billion, one hundred ninety-four million, nine hundred fifty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 461933 923866 1385799 1847732 2771598 3233531 3695464 5081263 5543196 6005129 6467062 7390928 9700593 10162526 11086392 12010258 12934124 15243789 18015387 19401186 20325052 22172784 24020516 25868248 30487578 35568841 36030774 38802372 40650104 42035903 48041032 51736496 60975156 66056419 71137682 72061548 77604744 81300208 84071806 96082064 106706523 121950312 126107709 132112838 142275364 144123096 155209488 168143612 198169257 213413046 243900624 252215418 264225676 284550728 288246192 336287224 396338514 426826092 462394933 504430836 528451352 569101456 672574448 792677028 853652184 924789866 1008861672 1056902704 1387184799 1585354056 1707304368 1849579732 2017723344 2774369598 3170708112 3699159464 5548739196 7398318928 11097478392 22194956784