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22107672 = 2332472139
BaseRepresentation
bin101010001010…
…1011000011000
31112121012000200
41110111120120
521124421142
62105502200
7355624566
oct124253030
945535020
1022107672
111152a904
1274a1960
134770882
142d16a36
151e1a64c
hex1515618

22107672 has 72 divisors (see below), whose sum is σ = 61616100. Its totient is φ = 7160544.

The previous prime is 22107661. The next prime is 22107703. The reversal of 22107672 is 27670122.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×221076722 = 977498322519168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 158979 + ... + 159117.

Almost surely, 222107672 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 22107672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30808050).

22107672 is an abundant number, since it is smaller than the sum of its proper divisors (39508428).

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

22107672 is a wasteful number, since it uses less digits than its factorization.

22107672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 22107672 is about 4701.8796241503. The cubic root of 22107672 is about 280.6603123371.

Adding to 22107672 its reverse (27670122), we get a palindrome (49777794).

The spelling of 22107672 in words is "twenty-two million, one hundred seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 139 141 188 278 282 376 417 423 556 564 834 846 1112 1128 1251 1668 1692 2209 2502 3336 3384 4418 5004 6533 6627 8836 10008 13066 13254 17672 19599 19881 26132 26508 39198 39762 52264 53016 58797 78396 79524 117594 156792 159048 235188 307051 470376 614102 921153 1228204 1842306 2456408 2763459 3684612 5526918 7369224 11053836 22107672