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22004434152144 = 243350936190167
BaseRepresentation
bin1010000000011010011100…
…11110110010101011010000
32212220121021211221121212000
411000031032132302223100
510341010040120332034
6114444410354234000
74430524251136143
oct500151636625320
985817254847760
1022004434152144
117014034473a74
122574734585900
13c380173a7c72
1456103d99605a
152825bc296599
hex14034e7b2ad0

22004434152144 has 40 divisors (see below), whose sum is σ = 63160875808320. Its totient is φ = 7334811383904.

The previous prime is 22004434152139. The next prime is 22004434152179. The reversal of 22004434152144 is 44125143440022.

22004434152144 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 4 + 434 + 1 + 5 + 214 + 4 = 666.

It is a super-2 number, since 2×220044341521442 (a number of 27 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 = 22004434152099 and 22004434152108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25468094652 + ... + 25468095515.

It is an arithmetic number, because the mean of its divisors is an integer number (1579021895208).

Almost surely, 222004434152144 is an apocalyptic number.

22004434152144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22004434152144 is an abundant number, since it is smaller than the sum of its proper divisors (41156441656176).

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

22004434152144 is a wasteful number, since it uses less digits than its factorization.

22004434152144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50936190184 (or 50936190172 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 22004434152144 its reverse (44125143440022), we get a palindrome (66129577592166).

The spelling of 22004434152144 in words is "twenty-two trillion, four billion, four hundred thirty-four million, one hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 50936190167 101872380334 152808570501 203744760668 305617141002 407489521336 458425711503 611234282004 814979042672 916851423006 1222468564008 1375277134509 1833702846012 2444937128016 2750554269018 3667405692024 5501108538036 7334811384048 11002217076072 22004434152144