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22525020 = 22335759101
BaseRepresentation
bin101010111101…
…1010001011100
31120101101112000
41111323101130
521231300040
62122442300
7362313420
oct125732134
946341460
1022525020
1111795421
127663390
13488881b
142dc4b80
151e9e130
hex157b45c

22525020 has 192 divisors, whose sum is σ = 82252800. Its totient is φ = 5011200.

The previous prime is 22525001. The next prime is 22525037. The reversal of 22525020 is 2052522.

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

It is a junction number, because it is equal to n+sod(n) for n = 22524984 and 22525002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222970 + ... + 223070.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 222525020 is an apocalyptic number.

22525020 is a gapful number since it is divisible by the number (20) 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 22525020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

22525020 is an abundant number, since it is smaller than the sum of its proper divisors (59727780).

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

22525020 is a wasteful number, since it uses less digits than its factorization.

22525020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

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

The square root of 22525020 is about 4746.0530970481. The cubic root of 22525020 is about 282.4154131069.

Adding to 22525020 its reverse (2052522), we get a palindrome (24577542).

The spelling of 22525020 in words is "twenty-two million, five hundred twenty-five thousand, twenty".