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22531780 = 2251497561
BaseRepresentation
bin101010111110…
…0111011000100
31120101201210101
41111330323010
521232004110
62122533444
7362342215
oct125747304
946351711
1022531780
111179a507
127667284
13488b91b
142dc740c
151ea113a
hex157cec4

22531780 has 24 divisors (see below), whose sum is σ = 47640600. Its totient is φ = 8951040.

The previous prime is 22531759. The next prime is 22531781. The reversal of 22531780 is 8713522.

It can be written as a sum of positive squares in 4 ways, for example, as 26244 + 22505536 = 162^2 + 4744^2 .

It is a super-2 number, since 2×225317802 = 1015362219936800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22531781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 801 + ... + 6760.

It is an arithmetic number, because the mean of its divisors is an integer number (1985025).

Almost surely, 222531780 is an apocalyptic number.

22531780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22531780 is an abundant number, since it is smaller than the sum of its proper divisors (25108820).

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

22531780 is a wasteful number, since it uses less digits than its factorization.

22531780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7719 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 22531780 is about 4746.7652143328. The cubic root of 22531780 is about 282.4436622456.

The spelling of 22531780 in words is "twenty-two million, five hundred thirty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 149 298 596 745 1490 2980 7561 15122 30244 37805 75610 151220 1126589 2253178 4506356 5632945 11265890 22531780