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22138688 = 2611134159
BaseRepresentation
bin101010001110…
…0111101000000
31112122202120102
41110130331000
521131414223
62110301532
7356114165
oct124347500
945582512
1022138688
1111551140
1274b78a8
134781a20
142d2406c
151e24928
hex151cf40

22138688 has 112 divisors (see below), whose sum is σ = 53766720. Its totient is φ = 8908800.

The previous prime is 22138651. The next prime is 22138733. The reversal of 22138688 is 88683122.

It is a super-2 number, since 2×221386882 = 980243012722688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 375203 + ... + 375261.

It is an arithmetic number, because the mean of its divisors is an integer number (480060).

Almost surely, 222138688 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 22138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883360).

22138688 is an abundant number, since it is smaller than the sum of its proper divisors (31628032).

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

22138688 is a wasteful number, since it uses less digits than its factorization.

22138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

The square root of 22138688 is about 4705.1767235674. The cubic root of 22138688 is about 280.7915019763.

It can be divided in two parts, 2213 and 8688, that added together give a palindrome (10901).

The spelling of 22138688 in words is "twenty-two million, one hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 41 44 52 59 64 82 88 104 118 143 164 176 208 236 286 328 352 416 451 472 533 572 649 656 704 767 832 902 944 1066 1144 1298 1312 1534 1804 1888 2132 2288 2419 2596 2624 3068 3608 3776 4264 4576 4838 5192 5863 6136 7216 8437 8528 9152 9676 10384 11726 12272 14432 16874 17056 19352 20768 23452 24544 26609 28864 31447 33748 34112 38704 41536 46904 49088 53218 62894 67496 77408 93808 106436 125788 134992 154816 187616 212872 251576 269984 345917 375232 425744 503152 539968 691834 851488 1006304 1383668 1702976 2012608 2767336 5534672 11069344 22138688