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212331220 = 22510616561
BaseRepresentation
bin11001010011111…
…10101011010100
3112210112112200021
430221332223110
5413324044340
633022554524
75155533313
oct1451765324
9483475607
10212331220
11a9945652
125b138a44
1334cb3c9a
14202b227a
1513992e4a
hexca7ead4

212331220 has 12 divisors (see below), whose sum is σ = 445895604. Its totient is φ = 84932480.

The previous prime is 212331211. The next prime is 212331233. The reversal of 212331220 is 22133212.

It can be written as a sum of positive squares in 2 ways, for example, as 152917956 + 59413264 = 12366^2 + 7708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212331194 and 212331203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5308261 + ... + 5308300.

It is an arithmetic number, because the mean of its divisors is an integer number (37157967).

Almost surely, 2212331220 is an apocalyptic number.

212331220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212331220 is an abundant number, since it is smaller than the sum of its proper divisors (233564384).

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

212331220 is a wasteful number, since it uses less digits than its factorization.

212331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10616570 (or 10616568 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 212331220 is about 14571.5894809043. The cubic root of 212331220 is about 596.5835650245.

Adding to 212331220 its reverse (22133212), we get a palindrome (234464432).

The spelling of 212331220 in words is "two hundred twelve million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 10616561 21233122 42466244 53082805 106165610 212331220