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212455906 = 2135322909
BaseRepresentation
bin11001010100111…
…01000111100010
3112210202212201021
430222131013202
5413342042111
633025400054
75156562655
oct1452350742
9483685637
10212455906
11a9a202a3
125b19902a
1335028970
142030589c
15139b9d71
hexca9d1e2

212455906 has 24 divisors (see below), whose sum is σ = 349915860. Its totient is φ = 96173376.

The previous prime is 212455879. The next prime is 212455939. The reversal of 212455906 is 609554212.

It is a happy number.

212455906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 155226681 + 57229225 = 12459^2 + 7565^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71580 + ... + 74488.

Almost surely, 2212455906 is an apocalyptic number.

212455906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

212455906 is a deficient number, since it is larger than the sum of its proper divisors (137459954).

212455906 is a wasteful number, since it uses less digits than its factorization.

212455906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 212455906 is about 14575.8672469257. The cubic root of 212455906 is about 596.7003182474.

The spelling of 212455906 in words is "two hundred twelve million, four hundred fifty-five thousand, nine hundred six".

Divisors: 1 2 13 26 53 106 689 1378 2809 2909 5618 5818 36517 37817 73034 75634 154177 308354 2004301 4008602 8171381 16342762 106227953 212455906