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22951025414152 = 23111937936218179
BaseRepresentation
bin1010011011111101100111…
…01101111001000000001000
310000021002121102102001020221
411031332303231321000020
511002012200001223102
6120451315554155424
74556104543122613
oct515766355710010
9100232542361227
1022951025414152
117349525572580
1226a808bb82b74
13ca637063b954
14594b9aaa917a
1529c01ec86637
hex14dfb3b79008

22951025414152 has 64 divisors (see below), whose sum is σ = 49546470240000. Its totient is φ = 9857139324480.

The previous prime is 22951025414131. The next prime is 22951025414167. The reversal of 22951025414152 is 25141452015922.

It is a super-3 number, since 3×229510254141523 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22951025414099 and 22951025414108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17475402 + ... + 18742777.

It is an arithmetic number, because the mean of its divisors is an integer number (774163597500).

Almost surely, 222951025414152 is an apocalyptic number.

22951025414152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22951025414152 is an abundant number, since it is smaller than the sum of its proper divisors (26595444825848).

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

22951025414152 is a wasteful number, since it uses less digits than its factorization.

22951025414152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36218594 (or 36218590 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 22951025414152 in words is "twenty-two trillion, nine hundred fifty-one billion, twenty-five million, four hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 379 418 758 836 1516 1672 3032 4169 7201 8338 14402 16676 28804 33352 57608 79211 158422 316844 633688 36218179 72436358 144872716 289745432 398399969 688145401 796799938 1376290802 1593599876 2752581604 3187199752 5505163208 7569599411 13726689841 15139198822 27453379682 30278397644 54906759364 60556795288 109813518728 150993588251 260807106979 301987176502 521614213958 603974353004 1043228427916 1207948706008 2086456855832 2868878176769 5737756353538 11475512707076 22951025414152