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22342605125 = 532933131949
BaseRepresentation
bin10100110011101110…
…010001100101000101
32010200002112221100112
4110303232101211011
5331224201331000
614133011322405
71420446003311
oct246356214505
963602487315
1022342605125
1195258aaa15
1243b65b0405
132150b19309
14111d484b41
158ab756235
hex533b91945

22342605125 has 32 divisors (see below), whose sum is σ = 28082527200. Its totient is φ = 17747059200.

The previous prime is 22342605091. The next prime is 22342605127. The reversal of 22342605125 is 52150624322.

It can be written as a sum of positive squares in 16 ways, for example, as 13951861924 + 8390743201 = 118118^2 + 91601^2 .

It is not a de Polignac number, because 22342605125 - 216 = 22342539589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22342605091 and 22342605100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22342605127) 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, 11462651 + ... + 11464599.

It is an arithmetic number, because the mean of its divisors is an integer number (877578975).

Almost surely, 222342605125 is an apocalyptic number.

22342605125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22342605125 is a deficient number, since it is larger than the sum of its proper divisors (5739922075).

22342605125 is a wasteful number, since it uses less digits than its factorization.

22342605125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 22342605125 in words is "twenty-two billion, three hundred forty-two million, six hundred five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 293 313 1465 1565 1949 7325 7825 9745 36625 39125 48725 91709 243625 458545 571057 610037 2292725 2855285 3050185 11463625 14276425 15250925 71382125 76254625 178740841 893704205 4468521025 22342605125