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22829597840 = 24572173143257
BaseRepresentation
bin10101010000110000…
…000000010010010000
32011221000220201202202
4111100300000102100
5333223334112330
614253205302332
71435511244200
oct252060002220
964830821682
1022829597840
119755792835
1245117049a8
1321ca998a9a
141168012400
158d93a0445
hex550c00490

22829597840 has 480 divisors, whose sum is σ = 69323848704. Its totient is φ = 6936330240.

The previous prime is 22829597827. The next prime is 22829597897. The reversal of 22829597840 is 4879592822.

It is a happy number.

It is a super-2 number, since 2×228295978402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88830992 + ... + 88831248.

Almost surely, 222829597840 is an apocalyptic number.

22829597840 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 22829597840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34661924352).

22829597840 is an abundant number, since it is smaller than the sum of its proper divisors (46494250864).

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

22829597840 is a wasteful number, since it uses less digits than its factorization.

22829597840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 22829597840 in words is "twenty-two billion, eight hundred twenty-nine million, five hundred ninety-seven thousand, eight hundred forty".