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212406456 = 23313963671
BaseRepresentation
bin11001010100100…
…01000010111000
3112210200100212210
430222101002320
5413334001311
633024335120
75156265543
oct1452210270
9483610783
10212406456
11a9997129
125b1744a0
133500c2c2
14202d185a
15139aa3a6
hexca910b8

212406456 has 32 divisors (see below), whose sum is σ = 534844800. Its totient is φ = 70291680.

The previous prime is 212406443. The next prime is 212406461. The reversal of 212406456 is 654604212.

212406456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28500 + ... + 35171.

It is an arithmetic number, because the mean of its divisors is an integer number (16713900).

Almost surely, 2212406456 is an apocalyptic number.

It is an amenable number.

212406456 is an abundant number, since it is smaller than the sum of its proper divisors (322438344).

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

212406456 is a wasteful number, since it uses less digits than its factorization.

212406456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63819 (or 63815 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 212406456 is about 14574.1708512011. The cubic root of 212406456 is about 596.6540198243.

The spelling of 212406456 in words is "two hundred twelve million, four hundred six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 139 278 417 556 834 1112 1668 3336 63671 127342 191013 254684 382026 509368 764052 1528104 8850269 17700538 26550807 35401076 53101614 70802152 106203228 212406456