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212132440 = 23513407947
BaseRepresentation
bin11001010010011…
…10001001011000
3112210011110000001
430221032021120
5413301214230
633014422344
75154044632
oct1451161130
9483143001
10212132440
11a981a273
125b0619b4
1334c44670
142025da52
15139540ca
hexca4e258

212132440 has 32 divisors (see below), whose sum is σ = 514014480. Its totient is φ = 78325632.

The previous prime is 212132429. The next prime is 212132449. The reversal of 212132440 is 44231212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212132449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203454 + ... + 204493.

Almost surely, 2212132440 is an apocalyptic number.

212132440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132440 is an abundant number, since it is smaller than the sum of its proper divisors (301882040).

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

212132440 is a wasteful number, since it uses less digits than its factorization.

212132440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407971 (or 407967 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 212132440 is about 14564.7670767507. The cubic root of 212132440 is about 596.3973372571.

Adding to 212132440 its reverse (44231212), we get a palindrome (256363652).

It can be divided in two parts, 21213 and 2440, that added together give a triangular number (23653 = T217).

The spelling of 212132440 in words is "two hundred twelve million, one hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 407947 815894 1631788 2039735 3263576 4079470 5303311 8158940 10606622 16317880 21213244 26516555 42426488 53033110 106066220 212132440