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21688884 = 2234773131
BaseRepresentation
bin101001010111…
…1001000110100
31111210220120000
41102233020310
521023021014
62052511300
7352231620
oct122571064
944726500
1021688884
11112741a8
12731b530
134655079
142c48180
151d86509
hex14af234

21688884 has 120 divisors (see below), whose sum is σ = 66187968. Its totient is φ = 6065280.

The previous prime is 21688883. The next prime is 21688903. The reversal of 21688884 is 48888612.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21688883) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165499 + ... + 165629.

Almost surely, 221688884 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 21688884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33093984).

21688884 is an abundant number, since it is smaller than the sum of its proper divisors (44499084).

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

21688884 is a wasteful number, since it uses less digits than its factorization.

21688884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 21688884 is about 4657.1325942043. The cubic root of 21688884 is about 278.8768099919.

The spelling of 21688884 in words is "twenty-one million, six hundred eighty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 81 84 108 126 131 146 162 189 219 252 262 292 324 378 393 438 511 524 567 657 756 786 876 917 1022 1134 1179 1314 1533 1572 1834 1971 2044 2268 2358 2628 2751 3066 3537 3668 3942 4599 4716 5502 5913 6132 7074 7884 8253 9198 9563 10611 11004 11826 13797 14148 16506 18396 19126 21222 23652 24759 27594 28689 33012 38252 41391 42444 49518 55188 57378 66941 74277 82782 86067 99036 114756 133882 148554 165564 172134 200823 258201 267764 297108 344268 401646 516402 602469 774603 803292 1032804 1204938 1549206 1807407 2409876 3098412 3614814 5422221 7229628 10844442 21688884