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22320222112134 = 2332317971193327
BaseRepresentation
bin1010001001100110101001…
…11010010000100110000110
32221000210101122201010012000
411010303110322100212012
510411143303330042014
6115245433554210130
74462403624410422
oct504632472204606
987023348633160
1022320222112134
117125a5354a291
122605985283946
13c5ba3207b51b
14572439831b82
1528a900a14509
hex144cd4e90986

22320222112134 has 32 divisors (see below), whose sum is σ = 51757036784640. Its totient is φ = 7116592557096.

The previous prime is 22320222112127. The next prime is 22320222112141. The reversal of 22320222112134 is 43121122202322.

22320222112134 is a `hidden beast` number, since 2 + 2 + 320 + 222 + 112 + 1 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22320222112127) and next prime (22320222112141).

It is a super-3 number, since 3×223202221121343 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22320222112098 and 22320222112107.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8985595422 + ... + 8985597905.

It is an arithmetic number, because the mean of its divisors is an integer number (1617407399520).

Almost surely, 222320222112134 is an apocalyptic number.

22320222112134 is an abundant number, since it is smaller than the sum of its proper divisors (29436814672506).

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

22320222112134 is a wasteful number, since it uses less digits than its factorization.

22320222112134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17971193361 (or 17971193355 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22320222112134 its reverse (43121122202322), we get a palindrome (65441344314456).

The spelling of 22320222112134 in words is "twenty-two trillion, three hundred twenty billion, two hundred twenty-two million, one hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 17971193327 35942386654 53913579981 107827159962 161740739943 323481479886 413337446521 485222219829 826674893042 970444439658 1240012339563 2480024679126 3720037018689 7440074037378 11160111056067 22320222112134