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212285745 = 3357239767
BaseRepresentation
bin11001010011100…
…11100100110001
3112210110020022000
430221303210301
5413321120440
633022004213
75155253610
oct1451634461
9483406260
10212285745
11a9914471
125b116669
1334c99389
142029d877
1513984730
hexca73931

212285745 has 64 divisors (see below), whose sum is σ = 450109440. Its totient is φ = 92816064.

The previous prime is 212285701. The next prime is 212285767. The reversal of 212285745 is 547582212.

It is a happy number.

212285745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212285745 - 217 = 212154673 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16852 + ... + 26618.

It is an arithmetic number, because the mean of its divisors is an integer number (7032960).

Almost surely, 2212285745 is an apocalyptic number.

It is an amenable number.

212285745 is an abundant number, since it is smaller than the sum of its proper divisors (237823695).

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

212285745 is a wasteful number, since it uses less digits than its factorization.

212285745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9811 (or 9805 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 212285745 is about 14570.0289979121. The cubic root of 212285745 is about 596.5409718617.

The spelling of 212285745 in words is "two hundred twelve million, two hundred eighty-five thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 105 115 135 161 189 207 315 345 483 621 805 945 1035 1449 2415 3105 4347 7245 9767 21735 29301 48835 68369 87903 146505 205107 224641 263709 341845 439515 615321 673923 1025535 1123205 1318545 1572487 1845963 2021769 3076605 3369615 4717461 6065307 7862435 9229815 10108845 14152383 23587305 30326535 42457149 70761915 212285745