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22131647540 = 22517292244589
BaseRepresentation
bin10100100111001001…
…100010010000110100
32010010101121011221122
4110213021202100310
5330311200210130
614100034003112
71412304620522
oct244711422064
963111534848
1022131647540
119427813402
124357a16498
1321191c6642
1410dd44d312
15897e852e5
hex527262434

22131647540 has 48 divisors (see below), whose sum is σ = 50907301200. Its totient is φ = 8044603392.

The previous prime is 22131647519. The next prime is 22131647561. The reversal of 22131647540 is 4574613122.

It is an interprime number because it is at equal distance from previous prime (22131647519) and next prime (22131647561).

It can be written as a sum of positive squares in 8 ways, for example, as 858841636 + 21272805904 = 29306^2 + 145852^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22131647540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1112435 + ... + 1132154.

It is an arithmetic number, because the mean of its divisors is an integer number (1060568775).

Almost surely, 222131647540 is an apocalyptic number.

22131647540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131647540 is an abundant number, since it is smaller than the sum of its proper divisors (28775653660).

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

22131647540 is a wasteful number, since it uses less digits than its factorization.

22131647540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244644 (or 2244642 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 22131647540 in words is "twenty-two billion, one hundred thirty-one million, six hundred forty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 2244589 4489178 8978356 11222945 22445890 38158013 44891780 65093081 76316026 130186162 152632052 190790065 260372324 325465405 381580130 650930810 763160260 1106582377 1301861620 2213164754 4426329508 5532911885 11065823770 22131647540