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22082632 = 23111397199
BaseRepresentation
bin101010000111…
…1010001001000
31112112220200021
41110033101020
521123121012
62105150224
7355461565
oct124172110
945486607
1022082632
1111513010
12748b374
134762360
142d0b86c
151e13007
hex150f448

22082632 has 64 divisors (see below), whose sum is σ = 49392000. Its totient is φ = 9123840.

The previous prime is 22082623. The next prime is 22082639. The reversal of 22082632 is 23628022.

It is a junction number, because it is equal to n+sod(n) for n = 22082597 and 22082606.

It is not an unprimeable number, because it can be changed into a prime (22082639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110869 + ... + 111067.

It is an arithmetic number, because the mean of its divisors is an integer number (771750).

Almost surely, 222082632 is an apocalyptic number.

22082632 is a gapful number since it is divisible by the number (22) 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 22082632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24696000).

22082632 is an abundant number, since it is smaller than the sum of its proper divisors (27309368).

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

22082632 is a wasteful number, since it uses less digits than its factorization.

22082632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 22082632 is about 4699.2161048413. The cubic root of 22082632 is about 280.5543100832.

The spelling of 22082632 in words is "twenty-two million, eighty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 97 104 143 194 199 286 388 398 572 776 796 1067 1144 1261 1592 2134 2189 2522 2587 4268 4378 5044 5174 8536 8756 10088 10348 13871 17512 19303 20696 27742 28457 38606 55484 56914 77212 110968 113828 154424 212333 227656 250939 424666 501878 849332 1003756 1698664 2007512 2760329 5520658 11041316 22082632