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22432430040 = 233541113157257
BaseRepresentation
bin10100111001000100…
…111011011111011000
32010220100120111222020
4110321010323133120
5331420200230130
614145540454440
71422616336446
oct247104733730
963810514866
1022432430040
119571581789
1244206aa420
132166609657
14112b387b96
158b459ae10
hex53913b7d8

22432430040 has 256 divisors, whose sum is σ = 70264091520. Its totient is φ = 5725224960.

The previous prime is 22432430039. The next prime is 22432430057. The reversal of 22432430040 is 4003423422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87285592 + ... + 87285848.

Almost surely, 222432430040 is an apocalyptic number.

22432430040 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 22432430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35132045760).

22432430040 is an abundant number, since it is smaller than the sum of its proper divisors (47831661480).

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

22432430040 is a wasteful number, since it uses less digits than its factorization.

22432430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22432430040 its reverse (4003423422), we get a palindrome (26435853462).

The spelling of 22432430040 in words is "twenty-two billion, four hundred thirty-two million, four hundred thirty thousand, forty".