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22040410400 = 25521953109251
BaseRepresentation
bin10100100001101101…
…011111100100100000
32002220000220212010022
4110201231133210200
5330114321113100
614043014253012
71410116253161
oct244155374440
962800825108
1022040410400
119390267608
124331357168
132103330578
1410d129d768
1588ee61e85
hex521b5f920

22040410400 has 288 divisors, whose sum is σ = 58468132800. Its totient is φ = 8087040000.

The previous prime is 22040410391. The next prime is 22040410409. The reversal of 22040410400 is 401404022.

It is an interprime number because it is at equal distance from previous prime (22040410391) and next prime (22040410409).

It is not an unprimeable number, because it can be changed into a prime (22040410409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87810275 + ... + 87810525.

It is an arithmetic number, because the mean of its divisors is an integer number (203014350).

Almost surely, 222040410400 is an apocalyptic number.

22040410400 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 22040410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29234066400).

22040410400 is an abundant number, since it is smaller than the sum of its proper divisors (36427722400).

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

22040410400 is a wasteful number, since it uses less digits than its factorization.

22040410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 22040410400 its reverse (401404022), we get a palindrome (22441814422).

The spelling of 22040410400 in words is "twenty-two billion, forty million, four hundred ten thousand, four hundred".