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22117914 = 2337213643
BaseRepresentation
bin101010001011…
…1111000011010
31112121201002000
41110113320122
521130233124
62110021430
7355666500
oct124277032
945551060
1022117914
1111537575
1274a7876
134775430
142d1a670
151e1d6c9
hex1517e1a

22117914 has 96 divisors (see below), whose sum is σ = 61669440. Its totient is φ = 5824224.

The previous prime is 22117891. The next prime is 22117933. The reversal of 22117914 is 41971122.

It is a super-2 number, since 2×221179142 = 978404239422792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34077 + ... + 34719.

It is an arithmetic number, because the mean of its divisors is an integer number (642390).

Almost surely, 222117914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22117914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30834720).

22117914 is an abundant number, since it is smaller than the sum of its proper divisors (39551526).

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

22117914 is a wasteful number, since it uses less digits than its factorization.

22117914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 668 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 22117914 is about 4702.9686369356. The cubic root of 22117914 is about 280.7036469034.

The spelling of 22117914 in words is "twenty-two million, one hundred seventeen thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 91 98 117 126 147 182 189 234 273 294 351 378 441 546 637 643 702 819 882 1274 1286 1323 1638 1911 1929 2457 2646 3822 3858 4501 4914 5733 5787 8359 9002 11466 11574 13503 16718 17199 17361 25077 27006 31507 34398 34722 40509 50154 58513 63014 75231 81018 94521 117026 121527 150462 175539 189042 225693 243054 283563 351078 409591 451386 526617 567126 819182 850689 1053234 1228773 1579851 1701378 2457546 3159702 3686319 7372638 11058957 22117914