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22025052 = 22327711231
BaseRepresentation
bin101010000000…
…1001101011100
31112102222200200
41110001031130
521114300202
62104023500
7355131660
oct124011534
945388620
1022025052
1111483825
127461b90
13474209a
142cd48a0
151e00e1c
hex150135c

22025052 has 72 divisors (see below), whose sum is σ = 64576512. Its totient is φ = 6199200.

The previous prime is 22025039. The next prime is 22025057. The reversal of 22025052 is 25052022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22025057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17277 + ... + 18507.

It is an arithmetic number, because the mean of its divisors is an integer number (896896).

Almost surely, 222025052 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 22025052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32288256).

22025052 is an abundant number, since it is smaller than the sum of its proper divisors (42551460).

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

22025052 is a wasteful number, since it uses less digits than its factorization.

22025052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 22025052 is about 4693.0855521714. The cubic root of 22025052 is about 280.3102513401.

Adding to 22025052 its reverse (25052022), we get a palindrome (47077074).

The spelling of 22025052 in words is "twenty-two million, twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1231 1278 1491 1988 2462 2556 2982 3693 4473 4924 5964 7386 8617 8946 11079 14772 17234 17892 22158 25851 34468 44316 51702 77553 87401 103404 155106 174802 262203 310212 349604 524406 611807 786609 1048812 1223614 1573218 1835421 2447228 3146436 3670842 5506263 7341684 11012526 22025052