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22432980 = 2235596337
BaseRepresentation
bin101010110010…
…0110011010100
31120012201021010
41111210303110
521220323410
62120452220
7361451163
oct125446324
946181233
1022432980
1111732259
12761a070
13485596b
142d9d3da
151e81c20
hex1564cd4

22432980 has 48 divisors (see below), whose sum is σ = 63887040. Its totient is φ = 5879808.

The previous prime is 22432967. The next prime is 22432987. The reversal of 22432980 is 8923422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22432987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372 + ... + 6708.

It is an arithmetic number, because the mean of its divisors is an integer number (1330980).

Almost surely, 222432980 is an apocalyptic number.

22432980 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 22432980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31943520).

22432980 is an abundant number, since it is smaller than the sum of its proper divisors (41454060).

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

22432980 is a wasteful number, since it uses less digits than its factorization.

22432980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6408 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 22432980 is about 4736.3466933914. The cubic root of 22432980 is about 282.0302266277.

The spelling of 22432980 in words is "twenty-two million, four hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 6337 12674 19011 25348 31685 38022 63370 76044 95055 126740 190110 373883 380220 747766 1121649 1495532 1869415 2243298 3738830 4486596 5608245 7477660 11216490 22432980