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22166155152 = 2432153931633
BaseRepresentation
bin10100101001001101…
…001010111110010000
32010012210112100111100
4110221031022332100
5330344013431102
614103305344400
71413204132021
oct245115127620
963183470440
1022166155152
119445242499
124367498100
1321233b924b
141103c72c48
1589aeeea1c
hex52934af90

22166155152 has 30 divisors (see below), whose sum is σ = 62034448502. Its totient is φ = 7388718336.

The previous prime is 22166155103. The next prime is 22166155159. The reversal of 22166155152 is 25155166122.

22166155152 is a `hidden beast` number, since 2 + 21 + 6 + 615 + 5 + 15 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17605043856 + 4561111296 = 132684^2 + 67536^2 .

It is a super-2 number, since 2×221661551522 (a number of 21 digits) contains 22 as substring.

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 (22166155159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76965673 + ... + 76965960.

Almost surely, 222166155152 is an apocalyptic number.

It is an amenable number.

22166155152 is an abundant number, since it is smaller than the sum of its proper divisors (39868293350).

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

22166155152 is a wasteful number, since it uses less digits than its factorization.

22166155152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153931647 (or 153931638 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 22166155152 in words is "twenty-two billion, one hundred sixty-six million, one hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 153931633 307863266 461794899 615726532 923589798 1231453064 1385384697 1847179596 2462906128 2770769394 3694359192 5541538788 7388718384 11083077576 22166155152