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212811380 = 22510640569
BaseRepresentation
bin11001010111100…
…11111001110100
3112211102221022222
430223303321310
5413434431010
633041141512
75162603225
oct1453637164
9484387288
10212811380
11aa143381
125b32a898
13351216c2
142039924c
1513a3a355
hexcaf3e74

212811380 has 12 divisors (see below), whose sum is σ = 446903940. Its totient is φ = 85124544.

The previous prime is 212811331. The next prime is 212811409. The reversal of 212811380 is 83118212.

It can be written as a sum of positive squares in 2 ways, for example, as 22316176 + 190495204 = 4724^2 + 13802^2 .

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 3 ways as a sum of consecutive naturals, for example, 5320265 + ... + 5320304.

It is an arithmetic number, because the mean of its divisors is an integer number (37241995).

Almost surely, 2212811380 is an apocalyptic number.

212811380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212811380 is an abundant number, since it is smaller than the sum of its proper divisors (234092560).

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

212811380 is a wasteful number, since it uses less digits than its factorization.

212811380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10640578 (or 10640576 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 212811380 is about 14588.0560733773. The cubic root of 212811380 is about 597.0329257102.

Adding to 212811380 its reverse (83118212), we get a palindrome (295929592).

The spelling of 212811380 in words is "two hundred twelve million, eight hundred eleven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 10640569 21281138 42562276 53202845 106405690 212811380