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212865280 = 285166301
BaseRepresentation
bin11001011000000…
…01000100000000
3112211112200021021
430230001010000
5413443142110
633042235224
75163216325
oct1454010400
9484480237
10212865280
11aa17a921
125b355b14
13351400b4
14203b0b4c
1513a4b2da
hexcb01100

212865280 has 36 divisors (see below), whose sum is σ = 509881932. Its totient is φ = 85145600.

The previous prime is 212865271. The next prime is 212865283. The reversal of 212865280 is 82568212.

It can be written as a sum of positive squares in 2 ways, for example, as 42406144 + 170459136 = 6512^2 + 13056^2 .

It is not an unprimeable number, because it can be changed into a prime (212865283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81871 + ... + 84430.

It is an arithmetic number, because the mean of its divisors is an integer number (14163387).

Almost surely, 2212865280 is an apocalyptic number.

212865280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212865280 is an abundant number, since it is smaller than the sum of its proper divisors (297016652).

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

212865280 is an equidigital number, since it uses as much as digits as its factorization.

212865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166322 (or 166308 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 212865280 is about 14589.9033581446. The cubic root of 212865280 is about 597.0833261450.

The spelling of 212865280 in words is "two hundred twelve million, eight hundred sixty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 166301 332602 665204 831505 1330408 1663010 2660816 3326020 5321632 6652040 10643264 13304080 21286528 26608160 42573056 53216320 106432640 212865280