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22195042956 = 22341074991283
BaseRepresentation
bin10100101010111011…
…010111101010001100
32010021210220000010000
4110222323113222030
5330423412333311
614110220444300
71414004516022
oct245273275214
963253800100
1022195042956
11945a583309
1243750a9690
132129391c18
141107a32712
1589d809056
hex52aed7a8c

22195042956 has 120 divisors (see below), whose sum is σ = 58727592000. Its totient is φ = 7308815328.

The previous prime is 22195042949. The next prime is 22195042973. The reversal of 22195042956 is 65924059122.

22195042956 is a `hidden beast` number, since 2 + 219 + 5 + 0 + 429 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17298691 + ... + 17299973.

It is an arithmetic number, because the mean of its divisors is an integer number (489396600).

Almost surely, 222195042956 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 22195042956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29363796000).

22195042956 is an abundant number, since it is smaller than the sum of its proper divisors (36532549044).

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

22195042956 is a wasteful number, since it uses less digits than its factorization.

22195042956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 22195042956 in words is "twenty-two billion, one hundred ninety-five million, forty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 321 324 428 499 642 963 998 1283 1284 1497 1926 1996 2566 2889 2994 3849 3852 4491 5132 5778 5988 7698 8667 8982 11547 11556 13473 15396 17334 17964 23094 26946 34641 34668 40419 46188 53393 53892 69282 80838 103923 106786 137281 138564 160179 161676 207846 213572 274562 320358 411843 415692 480537 549124 640217 640716 823686 961074 1235529 1280434 1441611 1647372 1920651 1922148 2471058 2560868 2883222 3706587 3841302 4324833 4942116 5761953 5766444 7413174 7682604 8649666 11119761 11523906 14826348 17285859 17299332 22239522 23047812 34571718 44479044 51857577 68503219 69143436 103715154 137006438 205509657 207430308 274012876 411019314 616528971 822038628 1233057942 1849586913 2466115884 3699173826 5548760739 7398347652 11097521478 22195042956