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22449957408 = 253101092
BaseRepresentation
bin10100111010000111…
…110010101000100000
32010221120120000000000
4110322013302220200
5331434142114113
614151404300000
71423221326604
oct247207625040
963846500000
1022449957408
11958046330a
124426541600
13216a135488
14112d82b504
158b5dae373
hex53a1f2a20

22449957408 has 198 divisors, whose sum is σ = 66910967109. Its totient is φ = 7414664832.

The previous prime is 22449957401. The next prime is 22449957437. The reversal of 22449957408 is 80475994422.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22449957408 is a `hidden beast` number, since 2 + 24 + 49 + 9 + 574 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21542019984 + 907937424 = 146772^2 + 30132^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105948.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22449957401) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 205962858 + ... + 205962966.

Almost surely, 222449957408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22449957408

22449957408 is an abundant number, since it is smaller than the sum of its proper divisors (44461009701).

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

22449957408 is an frugal number, since it uses more digits than its factorization.

22449957408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 22449957408 in words is "twenty-two billion, four hundred forty-nine million, nine hundred fifty-seven thousand, four hundred eight".