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212845120 = 265665141
BaseRepresentation
bin11001010111111…
…00001001000000
3112211111122121121
430223330021000
5413442020440
633042002024
75163103465
oct1453741100
9484448547
10212845120
11aa166764
125b346314
1335133b77
14203a766c
1513a4534a
hexcafc240

212845120 has 28 divisors (see below), whose sum is σ = 506838204. Its totient is φ = 85137920.

The previous prime is 212845103. The next prime is 212845121. The reversal of 212845120 is 21548212.

It can be written as a sum of positive squares in 2 ways, for example, as 107495424 + 105349696 = 10368^2 + 10264^2 .

It is not an unprimeable number, because it can be changed into a prime (212845121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332251 + ... + 332890.

Almost surely, 2212845120 is an apocalyptic number.

212845120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212845120 is an abundant number, since it is smaller than the sum of its proper divisors (293993084).

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

212845120 is an equidigital number, since it uses as much as digits as its factorization.

212845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665158 (or 665148 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 212845120 is about 14589.2124530421. The cubic root of 212845120 is about 597.0644760694.

The spelling of 212845120 in words is "two hundred twelve million, eight hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 665141 1330282 2660564 3325705 5321128 6651410 10642256 13302820 21284512 26605640 42569024 53211280 106422560 212845120