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22532640 = 25351323157
BaseRepresentation
bin101010111110…
…1001000100000
31120101202222020
41111331020200
521232021030
62122541440
7362344554
oct125751040
946352866
1022532640
11117a0119
127667880
13488c130
142dc7864
151ea1510
hex157d220

22532640 has 192 divisors, whose sum is σ = 80269056. Its totient is φ = 5271552.

The previous prime is 22532621. The next prime is 22532641. The reversal of 22532640 is 4623522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22532640.

It is not an unprimeable number, because it can be changed into a prime (22532641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143442 + ... + 143598.

It is an arithmetic number, because the mean of its divisors is an integer number (418068).

Almost surely, 222532640 is an apocalyptic number.

22532640 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 22532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40134528).

22532640 is an abundant number, since it is smaller than the sum of its proper divisors (57736416).

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

22532640 is a wasteful number, since it uses less digits than its factorization.

22532640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 22532640 is about 4746.8558014753. The cubic root of 22532640 is about 282.4472556658.

The spelling of 22532640 in words is "twenty-two million, five hundred thirty-two thousand, six hundred forty".