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212132200 = 23527151523
BaseRepresentation
bin11001010010011…
…10000101101000
3112210011102200011
430221032011220
5413301212300
633014421304
75154044140
oct1451160550
9483142604
10212132200
11a981a075
125b061834
1334c44517
142025d920
1513953eba
hexca4e168

212132200 has 48 divisors (see below), whose sum is σ = 563669280. Its totient is φ = 72730560.

The previous prime is 212132189. The next prime is 212132213. The reversal of 212132200 is 2231212.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74362 + ... + 77161.

It is an arithmetic number, because the mean of its divisors is an integer number (11743110).

Almost surely, 2212132200 is an apocalyptic number.

212132200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132200 is an abundant number, since it is smaller than the sum of its proper divisors (351537080).

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

212132200 is a wasteful number, since it uses less digits than its factorization.

212132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151546 (or 151537 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212132200 is about 14564.7588376876. The cubic root of 212132200 is about 596.3971123419.

Adding to 212132200 its reverse (2231212), we get a palindrome (214363412).

The spelling of 212132200 in words is "two hundred twelve million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 151523 303046 606092 757615 1060661 1212184 1515230 2121322 3030460 3788075 4242644 5303305 6060920 7576150 8485288 10606610 15152300 21213220 26516525 30304600 42426440 53033050 106066100 212132200