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22400343232 = 267137913007
BaseRepresentation
bin10100110111001010…
…100001110011000000
32010211010012100010221
4110313022201303000
5331333441440412
614142433032424
71422046530061
oct246712416300
963733170127
1022400343232
119555456463
1244119b5714
13215ca83887
141126dd4568
158b185db07
hex5372a1cc0

22400343232 has 56 divisors (see below), whose sum is σ = 45199157760. Its totient is φ = 11012440320.

The previous prime is 22400343223. The next prime is 22400343253. The reversal of 22400343232 is 23234300422.

It is a super-2 number, since 2×224003432322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22400343197 and 22400343206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1715673 + ... + 1728679.

Almost surely, 222400343232 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 22400343232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22599578880).

22400343232 is an abundant number, since it is smaller than the sum of its proper divisors (22798814528).

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

22400343232 is a wasteful number, since it uses less digits than its factorization.

22400343232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469 (or 13459 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 22400343232 its reverse (23234300422), we get a palindrome (45634643654).

The spelling of 22400343232 in words is "twenty-two billion, four hundred million, three hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 71 142 284 379 568 758 1136 1516 2272 3032 4544 6064 12128 13007 24256 26014 26909 52028 53818 104056 107636 208112 215272 416224 430544 832448 861088 923497 1722176 1846994 3693988 4929653 7387976 9859306 14775952 19718612 29551904 39437224 59103808 78874448 157748896 315497792 350005363 700010726 1400021452 2800042904 5600085808 11200171616 22400343232