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22141124244 = 2232615031229
BaseRepresentation
bin10100100111101101…
…101011111010010100
32010011001102122112200
4110213231223322110
5330321111433434
614101013044500
71412451310431
oct244755537224
963131378480
1022141124244
1194320a6398
12435b026730
13211b163c65
1411007d8b88
15898c08199
hex527b6be94

22141124244 has 18 divisors (see below), whose sum is σ = 55967841930. Its totient is φ = 7380374736.

The previous prime is 22141124227. The next prime is 22141124249. The reversal of 22141124244 is 44242114122.

22141124244 is a `hidden beast` number, since 2 + 2 + 1 + 411 + 2 + 4 + 244 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21959683344 + 181440900 = 148188^2 + 13470^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22141124249) 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, 307515579 + ... + 307515650.

Almost surely, 222141124244 is an apocalyptic number.

It is an amenable number.

22141124244 is an abundant number, since it is smaller than the sum of its proper divisors (33826717686).

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

22141124244 is a wasteful number, since it uses less digits than its factorization.

22141124244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615031239 (or 615031234 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 22141124244 its reverse (44242114122), we get a palindrome (66383238366).

The spelling of 22141124244 in words is "twenty-two billion, one hundred forty-one million, one hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 615031229 1230062458 1845093687 2460124916 3690187374 5535281061 7380374748 11070562122 22141124244