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23212900 = 2252232129
BaseRepresentation
bin101100010001…
…1001101100100
31121200100010001
41120203031210
521420303100
62145311044
7401210044
oct130431544
947610101
1023212900
1112115217
127935484
134a69959
143123724
152087d6a
hex1623364

23212900 has 18 divisors (see below), whose sum is σ = 50372210. Its totient is φ = 9285120.

The previous prime is 23212883. The next prime is 23212907. The reversal of 23212900 is 921232.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 19044 + 23193856 = 138^2 + 4816^2 .

It is not an unprimeable number, because it can be changed into a prime (23212907) 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 5 ways as a sum of consecutive naturals, for example, 115965 + ... + 116164.

Almost surely, 223212900 is an apocalyptic number.

23212900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23212900 is an abundant number, since it is smaller than the sum of its proper divisors (27159310).

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

23212900 is a wasteful number, since it uses less digits than its factorization.

23212900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232143 (or 232136 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 23212900 is about 4817.9767537837. The cubic root of 23212900 is about 285.2614815781.

The spelling of 23212900 in words is "twenty-three million, two hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 232129 464258 928516 1160645 2321290 4642580 5803225 11606450 23212900