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222104230502742 = 232715711227592281
BaseRepresentation
bin110010100000000010101011…
…110000110010000101010110
31002010101221211201000120012200
4302200002223300302011112
5213102423431002041432
62104213135214025330
764532333611445310
oct6240025360620526
91063357751016180
10222104230502742
1164850969967625
1220ab13554a8246
1396c1453c12173
143cbbc8b5887b0
151aa2692744a7c
hexca00abc32156

222104230502742 has 48 divisors (see below), whose sum is σ = 553475389133472. Its totient is φ = 63054158244480.

The previous prime is 222104230502729. The next prime is 222104230502743. The reversal of 222104230502742 is 247205032401222.

222104230502742 is a `hidden beast` number, since 2 + 2 + 2 + 10 + 42 + 30 + 502 + 74 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 222104230502697 and 222104230502706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222104230502743) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5613776359 + ... + 5613815922.

It is an arithmetic number, because the mean of its divisors is an integer number (11530737273614).

Almost surely, 2222104230502742 is an apocalyptic number.

222104230502742 is an abundant number, since it is smaller than the sum of its proper divisors (331371158630730).

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

222104230502742 is a wasteful number, since it uses less digits than its factorization.

222104230502742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227592453 (or 11227592450 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 222104230502742 its reverse (247205032401222), we get a palindrome (469309262903964).

The spelling of 222104230502742 in words is "two hundred twenty-two trillion, one hundred four billion, two hundred thirty million, five hundred two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 157 314 471 942 1099 1413 2198 2826 3297 6594 9891 19782 11227592281 22455184562 33682776843 67365553686 78593145967 101048330529 157186291934 202096661058 235779437901 471558875802 707338313703 1414676627406 1762731988117 3525463976234 5288195964351 10576391928702 12339123916819 15864587893053 24678247833638 31729175786106 37017371750457 74034743500914 111052115251371 222104230502742