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22322220032 = 210721114759
BaseRepresentation
bin10100110010100000…
…100000110000000000
32010121200012021021002
4110302200200300000
5331203442020112
614131002351132
71420110511460
oct246240406000
963550167232
1022322220032
119515347332
1243ab7bb4a8
13214982c828
14111a899ba0
158a9a7b1c2
hex532820c00

22322220032 has 88 divisors (see below), whose sum is σ = 51242469120. Its totient is φ = 9520680960.

The previous prime is 22322219999. The next prime is 22322220161. The reversal of 22322220032 is 23002222322.

It is a super-3 number, since 3×223222200323 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322219986 and 22322220013.

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, 1505069 + ... + 1519827.

Almost surely, 222322220032 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 22322220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25621234560).

22322220032 is an abundant number, since it is smaller than the sum of its proper divisors (28920249088).

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

22322220032 is a wasteful number, since it uses less digits than its factorization.

22322220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14997 (or 14979 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22322220032 its reverse (23002222322), we get a palindrome (45324442354).

The spelling of 22322220032 in words is "twenty-two billion, three hundred twenty-two million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 211 224 256 422 448 512 844 896 1024 1477 1688 1792 2954 3376 3584 5908 6752 7168 11816 13504 14759 23632 27008 29518 47264 54016 59036 94528 103313 108032 118072 189056 206626 216064 236144 378112 413252 472288 756224 826504 944576 1512448 1653008 1889152 3114149 3306016 3778304 6228298 6612032 7556608 12456596 13224064 15113216 21799043 24913192 26448128 43598086 49826384 52896256 87196172 99652768 105792512 174392344 199305536 348784688 398611072 697569376 797222144 1395138752 1594444288 2790277504 3188888576 5580555008 11161110016 22322220032