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222057055120551 = 37131175359877691
BaseRepresentation
bin110010011111010110101111…
…111000111110110010100111
31002010020110001222012211210020
4302133112233320332302213
5213101140322102324201
62104135334113530223
764526043555352020
oct6237265770766247
91063213058184706
10222057055120551
1164832960666762
1220aa418a573973
1396b9b7640b931
143cb9894049c47
151aa1330d4da36
hexc9f5afe3eca7

222057055120551 has 64 divisors (see below), whose sum is σ = 341251497455616. Its totient is φ = 125811909100800.

The previous prime is 222057055120529. The next prime is 222057055120559. The reversal of 222057055120551 is 155021550750222.

It is a happy number.

It is not a de Polignac number, because 222057055120551 - 25 = 222057055120519 is a prime.

It is a super-2 number, since 2×2220570551205512 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222057055120559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28872321616 + ... + 28872329306.

It is an arithmetic number, because the mean of its divisors is an integer number (5332054647744).

Almost surely, 2222057055120551 is an apocalyptic number.

222057055120551 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

222057055120551 is a deficient number, since it is larger than the sum of its proper divisors (119194442335065).

222057055120551 is a wasteful number, since it uses less digits than its factorization.

222057055120551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15572.

The product of its (nonzero) digits is 350000, while the sum is 42.

The spelling of 222057055120551 in words is "two hundred twenty-two trillion, fifty-seven billion, fifty-five million, one hundred twenty thousand, five hundred fifty-one".

Divisors: 1 3 7 21 131 393 917 1753 2751 5259 5987 7691 12271 17961 23073 36813 41909 53837 125727 161511 229643 688929 784297 1007521 1607501 2352891 3022563 4822503 5490079 7052647 10495211 13482323 16470237 21157941 31485633 40446969 46046017 73466477 94376261 138138051 220399431 283128783 322322119 966966357 1374872641 1766184313 4124617923 5298552939 6032028227 9624108487 12363290191 18096084681 28872325461 37089870573 42224197589 80718667801 126672592767 242156003403 565030674607 1695092023821 10574145481931 31722436445793 74019018373517 222057055120551