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212270900 = 22522122709
BaseRepresentation
bin11001010011011…
…11111100110100
3112210102110221012
430221233330310
5413320132100
633021411352
75155162412
oct1451577464
9483373835
10212270900
11a99042a6
125b109b58
1334c926aa
14202982b2
1513980135
hexca6ff34

212270900 has 18 divisors (see below), whose sum is σ = 460628070. Its totient is φ = 84908320.

The previous prime is 212270897. The next prime is 212270921. The reversal of 212270900 is 9072212.

It can be written as a sum of positive squares in 3 ways, for example, as 53611684 + 158659216 = 7322^2 + 12596^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1061255 + ... + 1061454.

Almost surely, 2212270900 is an apocalyptic number.

212270900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212270900 is an abundant number, since it is smaller than the sum of its proper divisors (248357170).

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

212270900 is a wasteful number, since it uses less digits than its factorization.

212270900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122723 (or 2122716 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 212270900 is about 14569.5195528199. The cubic root of 212270900 is about 596.5270663007.

The spelling of 212270900 in words is "two hundred twelve million, two hundred seventy thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2122709 4245418 8490836 10613545 21227090 42454180 53067725 106135450 212270900