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22109310864 = 2432123912
BaseRepresentation
bin10100100101110100…
…010100111110010000
32010001211120100210100
4110211310110332100
5330234440421424
614053515132400
71411614020154
oct244564247620
963054510710
1022109310864
119416147543
124350444100
1321146a5784
1410da4b7064
15896021dc9
hex525d14f90

22109310864 has 45 divisors (see below), whose sum is σ = 61880357019. Its totient is φ = 7369175520.

The previous prime is 22109310857. The next prime is 22109310869. The reversal of 22109310864 is 46801390122.

The square root of 22109310864 is 148692.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22109310869) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1778109 + ... + 1790499.

Almost surely, 222109310864 is an apocalyptic number.

22109310864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22109310864 is the 148692-nd square number.

It is an amenable number.

22109310864 is an abundant number, since it is smaller than the sum of its proper divisors (39771046155).

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

22109310864 is an frugal number, since it uses more digits than its factorization.

22109310864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24796 (or 12396 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 22109310864 by its sum of digits (36), we get a square (795935191104 = 8921522).

22109310864 divided by its sum of digits (36) gives a square (614147524 = 247822).

Multiplying 22109310864 by its product of nonzero digits (20736), we get a square (458458670075904 = 214116482).

The spelling of 22109310864 in words is "twenty-two billion, one hundred nine million, three hundred ten thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 12391 24782 37173 49564 74346 99128 111519 148692 198256 223038 297384 446076 594768 892152 1784304 153536881 307073762 460610643 614147524 921221286 1228295048 1381831929 1842442572 2456590096 2763663858 3684885144 5527327716 7369770288 11054655432 22109310864