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212112520 = 23510749559
BaseRepresentation
bin11001010010010…
…01010010001000
3112210010102200021
430221021102020
5413300100040
633014150224
75153632564
oct1451112210
9483112607
10212112520
11a9806304
125b052374
1334c38589
14202566a4
151394d24a
hexca49488

212112520 has 32 divisors (see below), whose sum is σ = 481723200. Its totient is φ = 84050368.

The previous prime is 212112503. The next prime is 212112521. The reversal of 212112520 is 25211212.

It is a happy number.

It is a super-2 number, since 2×2121125202 = 89983442281500800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212112494 and 212112503.

It is not an unprimeable number, because it can be changed into a prime (212112521) 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, 20500 + ... + 29059.

It is an arithmetic number, because the mean of its divisors is an integer number (15053850).

Almost surely, 2212112520 is an apocalyptic number.

212112520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212112520 is an abundant number, since it is smaller than the sum of its proper divisors (269610680).

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

212112520 is a wasteful number, since it uses less digits than its factorization.

212112520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49677 (or 49673 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 212112520 is about 14564.0832186582. The cubic root of 212112520 is about 596.3786687202.

Adding to 212112520 its reverse (25211212), we get a palindrome (237323732).

It can be divided in two parts, 2121 and 12520, that added together give a palindrome (14641).

The spelling of 212112520 in words is "two hundred twelve million, one hundred twelve thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 107 214 428 535 856 1070 2140 4280 49559 99118 198236 247795 396472 495590 991180 1982360 5302813 10605626 21211252 26514065 42422504 53028130 106056260 212112520