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22138032 = 2437411607
BaseRepresentation
bin101010001110…
…0110010110000
31112122201200010
41110130302300
521131404112
62110254520
7356112240
oct124346260
945581603
1022138032
11115506a4
1274b7440
134781637
142d23b20
151e2463c
hex151ccb0

22138032 has 80 divisors (see below), whose sum is σ = 66995712. Its totient is φ = 6167040.

The previous prime is 22138031. The next prime is 22138037. The reversal of 22138032 is 23083122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (22138031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12973 + ... + 14579.

Almost surely, 222138032 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 22138032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33497856).

22138032 is an abundant number, since it is smaller than the sum of its proper divisors (44857680).

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

22138032 is a wasteful number, since it uses less digits than its factorization.

22138032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 22138032 is about 4705.1070125981. The cubic root of 22138032 is about 280.7887285352.

The spelling of 22138032 in words is "twenty-two million, one hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1607 1722 1968 2296 3214 3444 4592 4821 6428 6888 9642 11249 12856 13776 19284 22498 25712 33747 38568 44996 65887 67494 77136 89992 131774 134988 179984 197661 263548 269976 395322 461209 527096 539952 790644 922418 1054192 1383627 1581288 1844836 2767254 3162576 3689672 5534508 7379344 11069016 22138032