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22131928 = 23721343101
BaseRepresentation
bin101010001101…
…1010011011000
31112122102022001
41110123103120
521131210203
62110210344
7356055400
oct124332330
945572261
1022131928
1111547055
1274b39b4
13477b920
142d21800
151e2291d
hex151b4d8

22131928 has 96 divisors (see below), whose sum is σ = 53721360. Its totient is φ = 8467200.

The previous prime is 22131913. The next prime is 22131931. The reversal of 22131928 is 82913122.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22131896 and 22131905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219078 + ... + 219178.

Almost surely, 222131928 is an apocalyptic number.

22131928 is a gapful number since it is divisible by the number (28) 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 22131928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26860680).

22131928 is an abundant number, since it is smaller than the sum of its proper divisors (31589432).

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

22131928 is a wasteful number, since it uses less digits than its factorization.

22131928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 22131928 is about 4704.4583110067. The cubic root of 22131928 is about 280.7629193764.

The spelling of 22131928 in words is "twenty-two million, one hundred thirty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 43 49 52 56 86 91 98 101 104 172 182 196 202 301 344 364 392 404 559 602 637 707 728 808 1118 1204 1274 1313 1414 2107 2236 2408 2548 2626 2828 3913 4214 4343 4472 4949 5096 5252 5656 7826 8428 8686 9191 9898 10504 15652 16856 17372 18382 19796 27391 30401 31304 34744 36764 39592 54782 56459 60802 64337 73528 109564 112918 121604 128674 212807 219128 225836 243208 257348 395213 425614 451672 514696 790426 851228 1580852 1702456 2766491 3161704 5532982 11065964 22131928