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212152420 = 22510607621
BaseRepresentation
bin11001010010100…
…11000001100100
3112210012110102001
430221103001210
5413302334140
633015055044
75154160114
oct1451230144
9483173361
10212152420
11a9833287
125b071484
1334c5079c
1420267044
1513959e9a
hexca53064

212152420 has 12 divisors (see below), whose sum is σ = 445520124. Its totient is φ = 84860960.

The previous prime is 212152417. The next prime is 212152427. The reversal of 212152420 is 24251212.

It can be written as a sum of positive squares in 2 ways, for example, as 51724864 + 160427556 = 7192^2 + 12666^2 .

It is not an unprimeable number, because it can be changed into a prime (212152427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5303791 + ... + 5303830.

It is an arithmetic number, because the mean of its divisors is an integer number (37126677).

Almost surely, 2212152420 is an apocalyptic number.

212152420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212152420 is an abundant number, since it is smaller than the sum of its proper divisors (233367704).

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

212152420 is a wasteful number, since it uses less digits than its factorization.

212152420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10607630 (or 10607628 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 212152420 is about 14565.4529624039. The cubic root of 212152420 is about 596.4160608506.

The spelling of 212152420 in words is "two hundred twelve million, one hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 10607621 21215242 42430484 53038105 106076210 212152420