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22144040100 = 223252713270379
BaseRepresentation
bin10100100111111000…
…110011110010100100
32010011020220210100100
4110213320303302210
5330322333240400
614101155344100
71412515143450
oct244770636244
963136823310
1022144040100
119433808096
12435bbb2030
13211b945210
141100d57660
158990d2100
hex527e33ca4

22144040100 has 216 divisors, whose sum is σ = 85427101760. Its totient is φ = 4672131840.

The previous prime is 22144040089. The next prime is 22144040123. The reversal of 22144040100 is 104044122.

22144040100 is a `hidden beast` number, since 221 + 4 + 40 + 401 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53290 + ... + 217089.

Almost surely, 222144040100 is an apocalyptic number.

22144040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22144040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42713550880).

22144040100 is an abundant number, since it is smaller than the sum of its proper divisors (63283061660).

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

22144040100 is a wasteful number, since it uses less digits than its factorization.

22144040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270419 (or 270409 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22144040100 its reverse (104044122), we get a palindrome (22248084222).

The spelling of 22144040100 in words is "twenty-two billion, one hundred forty-four million, forty thousand, one hundred".