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212539900 = 22524151839
BaseRepresentation
bin11001010101100…
…01100111111100
3112210221010221011
430222301213330
5413402234100
633031245004
75160362566
oct1452614774
9483833834
10212539900
11a9a78411
125b219764
1335057c71
1420328336
15139d4bba
hexcab19fc

212539900 has 36 divisors (see below), whose sum is σ = 472469760. Its totient is φ = 82940800.

The previous prime is 212539883. The next prime is 212539903. The reversal of 212539900 is 9935212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212539903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21820 + ... + 30019.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2212539900 is an apocalyptic number.

212539900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212539900 is an abundant number, since it is smaller than the sum of its proper divisors (259929860).

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

212539900 is a wasteful number, since it uses less digits than its factorization.

212539900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51894 (or 51887 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 212539900 is about 14578.7482315870. The cubic root of 212539900 is about 596.7789426297.

It can be divided in two parts, 2125 and 39900, that added together give a square (42025 = 2052).

The spelling of 212539900 in words is "two hundred twelve million, five hundred thirty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 51839 103678 207356 259195 518390 1036780 1295975 2125399 2591950 4250798 5183900 8501596 10626995 21253990 42507980 53134975 106269950 212539900