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22324397040 = 24345113110103
BaseRepresentation
bin10100110010101000…
…110100001111110000
32010121211021212120000
4110302220310033300
5331210021201130
614131121150000
71420135146441
oct246250641760
963554255500
1022324397040
1195165a3a10
1243b048b300
13214a1126ba
14111aca52c8
158a9d5b260
hex532a343f0

22324397040 has 400 divisors, whose sum is σ = 87321839616. Its totient is φ = 5236876800.

The previous prime is 22324397021. The next prime is 22324397083. The reversal of 22324397040 is 4079342322.

It is a happy number.

22324397040 is a `hidden beast` number, since 223 + 2 + 4 + 397 + 0 + 40 = 666.

It is a super-3 number, since 3×223243970403 (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22324396986 and 22324397004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2204629 + ... + 2214731.

Almost surely, 222324397040 is an apocalyptic number.

22324397040 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 22324397040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43660919808).

22324397040 is an abundant number, since it is smaller than the sum of its proper divisors (64997442576).

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

22324397040 is a wasteful number, since it uses less digits than its factorization.

22324397040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10170 (or 10155 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 22324397040 in words is "twenty-two billion, three hundred twenty-four million, three hundred ninety-seven thousand, forty".