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212506252 = 22723332573
BaseRepresentation
bin11001010101010…
…01011010001100
3112210212102202221
430222221122030
5413400200002
633030425124
75160162520
oct1452513214
9483772687
10212506252
11a9a55102
125b2021a4
133504585a
1420319d80
15139c9c37
hexcaa968c

212506252 has 24 divisors (see below), whose sum is σ = 426849696. Its totient is φ = 90680448.

The previous prime is 212506247. The next prime is 212506297. The reversal of 212506252 is 252605212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9763 + ... + 22810.

It is an arithmetic number, because the mean of its divisors is an integer number (17785404).

Almost surely, 2212506252 is an apocalyptic number.

It is an amenable number.

212506252 is an abundant number, since it is smaller than the sum of its proper divisors (214343444).

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

212506252 is a wasteful number, since it uses less digits than its factorization.

212506252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32817 (or 32815 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 212506252 is about 14577.5941773669. The cubic root of 212506252 is about 596.7474481862.

The spelling of 212506252 in words is "two hundred twelve million, five hundred six thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 233 466 932 1631 3262 6524 32573 65146 130292 228011 456022 912044 7589509 15179018 30358036 53126563 106253126 212506252