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22235355142 = 27211131938221
BaseRepresentation
bin10100101101010101…
…001001100000000110
32010101121202002000221
4110231111021200012
5331014222331032
614114220454554
71415004254200
oct245525114006
963347662027
1022235355142
119480307470
1243866aa45a
1321348378a0
14110d127770
158a211d597
hex52d549806

22235355142 has 96 divisors (see below), whose sum is σ = 45823113504. Its totient is φ = 7954329600.

The previous prime is 22235355127. The next prime is 22235355187. The reversal of 22235355142 is 24155353222.

It is a super-2 number, since 2×222353551422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22235355098 and 22235355107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2700592 + ... + 2708812.

It is an arithmetic number, because the mean of its divisors is an integer number (477324099).

Almost surely, 222235355142 is an apocalyptic number.

22235355142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22235355142 is an abundant number, since it is smaller than the sum of its proper divisors (23587758362).

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

22235355142 is a wasteful number, since it uses less digits than its factorization.

22235355142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8454 (or 8447 counting only the distinct ones).

The product of its digits is 72000, while the sum is 34.

The spelling of 22235355142 in words is "twenty-two billion, two hundred thirty-five million, three hundred fifty-five thousand, one hundred forty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 193 286 386 539 637 1001 1078 1274 1351 2002 2123 2509 2702 4246 5018 7007 8221 9457 14014 14861 16442 17563 18914 27599 29722 35126 55198 57547 90431 104027 106873 115094 122941 180862 193193 208054 213746 245882 386386 402829 633017 748111 805658 1175603 1266034 1352351 1496222 1586653 2351206 2704702 3173306 4431119 5236777 8229221 8862238 10473554 11106571 16458442 17453183 20626489 22213142 34906366 41252978 57604547 77745997 115209094 122172281 144385423 155491994 226891379 244344562 288770846 453782758 855205967 1010697961 1588239653 1710411934 2021395922 3176479306 11117677571 22235355142