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22142230452 = 22322921209033
BaseRepresentation
bin10100100111110001…
…111001111110110100
32010011010111211222100
4110213301321332310
5330321402333302
614101052502100
71412463565506
oct244761717664
963133454870
1022142230452
119432791511
12435b47a930
13211b460614
141100a05d76
15898d75d1c
hex527c79fb4

22142230452 has 36 divisors (see below), whose sum is σ = 57900662820. Its totient is φ = 7126234752.

The previous prime is 22142230427. The next prime is 22142230459. The reversal of 22142230452 is 25403224122.

It can be written as a sum of positive squares in 2 ways, for example, as 4262261796 + 17879968656 = 65286^2 + 133716^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×221422304522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142230459) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10603473 + ... + 10605560.

It is an arithmetic number, because the mean of its divisors is an integer number (1608351745).

Almost surely, 222142230452 is an apocalyptic number.

It is an amenable number.

22142230452 is an abundant number, since it is smaller than the sum of its proper divisors (35758432368).

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

22142230452 is a wasteful number, since it uses less digits than its factorization.

22142230452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21209072 (or 21209067 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22142230452 its reverse (25403224122), we get a palindrome (47545454574).

The spelling of 22142230452 in words is "twenty-two billion, one hundred forty-two million, two hundred thirty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 21209033 42418066 63627099 84836132 127254198 190881297 254508396 381762594 615061957 763525188 1230123914 1845185871 2460247828 3690371742 5535557613 7380743484 11071115226 22142230452