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21887172 = 2234431571
BaseRepresentation
bin101001101111…
…1100011000100
31112011222120000
41103133203010
521100342142
62101041300
7354015666
oct123374304
945158500
1021887172
111139a17a
1273b6230
1346c43b8
142c9a536
151dc514c
hex14df8c4

21887172 has 60 divisors (see below), whose sum is σ = 58585296. Its totient is φ = 7121520.

The previous prime is 21887167. The next prime is 21887179. The reversal of 21887172 is 27178812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21887179) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 13147 + ... + 14717.

Almost surely, 221887172 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 21887172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29292648).

21887172 is an abundant number, since it is smaller than the sum of its proper divisors (36698124).

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

21887172 is a wasteful number, since it uses less digits than its factorization.

21887172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1619 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 21887172 is about 4678.3727940385. The cubic root of 21887172 is about 279.7240989755.

The spelling of 21887172 in words is "twenty-one million, eight hundred eighty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 1571 2322 3142 3483 4644 4713 6284 6966 9426 13932 14139 18852 28278 42417 56556 67553 84834 127251 135106 169668 202659 254502 270212 405318 509004 607977 810636 1215954 1823931 2431908 3647862 5471793 7295724 10943586 21887172