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22338554055057 = 3331110711248371
BaseRepresentation
bin1010001010001000110011…
…00101000100100110010001
32221002112201020111022022000
411011010121211010212101
510411443324314230212
6115302105015304213
74463623123352232
oct505043145044621
987075636438260
1022338554055057
117132800443339
12260944067b069
13c60693cb2026
14573298389089
1528b1250db1dc
hex145119944991

22338554055057 has 32 divisors (see below), whose sum is σ = 33203799582720. Its totient is φ = 14843038266000.

The previous prime is 22338554055047. The next prime is 22338554055073. The reversal of 22338554055057 is 75055045583322.

It is a happy number.

22338554055057 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 85 + 5 + 4 + 0 + 550 + 5 + 7 = 666.

It is not a de Polignac number, because 22338554055057 - 215 = 22338554022289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22338554054994 and 22338554055012.

It is not an unprimeable number, because it can be changed into a prime (22338554055017) by changing a digit.

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, 89816082 + ... + 90064452.

It is an arithmetic number, because the mean of its divisors is an integer number (1037618736960).

Almost surely, 222338554055057 is an apocalyptic number.

22338554055057 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

22338554055057 is a deficient number, since it is larger than the sum of its proper divisors (10865245527663).

22338554055057 is a wasteful number, since it uses less digits than its factorization.

22338554055057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259402 (or 259396 counting only the distinct ones).

The product of its (nonzero) digits is 25200000, while the sum is 54.

The spelling of 22338554055057 in words is "twenty-two trillion, three hundred thirty-eight billion, five hundred fifty-four million, fifty-five thousand, fifty-seven".

Divisors: 1 3 9 27 311 933 2799 8397 10711 32133 96399 248371 289197 745113 2235339 3331121 6706017 9993363 29980089 77243381 89940267 231730143 695190429 2085571287 2660301781 7980905343 23942716029 71828148087 827353853891 2482061561673 7446184685019 22338554055057