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211142204 = 227132512311
BaseRepresentation
bin11001001010111…
…00011000111100
3112201022010122122
430211130120330
5413023022304
632541302112
75142451640
oct1445343074
9481263578
10211142204
11a9203299
125a864938
1334988a20
1420082c20
151380a9be
hexc95c63c

211142204 has 48 divisors (see below), whose sum is σ = 456777216. Its totient is φ = 83160000.

The previous prime is 211142161. The next prime is 211142249. The reversal of 211142204 is 402241112.

211142204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90209 + ... + 92519.

It is an arithmetic number, because the mean of its divisors is an integer number (9516192).

Almost surely, 2211142204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211142204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228388608).

211142204 is an abundant number, since it is smaller than the sum of its proper divisors (245635012).

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

211142204 is a wasteful number, since it uses less digits than its factorization.

211142204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 211142204 is about 14530.7330854297. The cubic root of 211142204 is about 595.4678936209.

Adding to 211142204 its reverse (402241112), we get a palindrome (613383316).

The spelling of 211142204 in words is "two hundred eleven million, one hundred forty-two thousand, two hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 251 364 502 1004 1757 2311 3263 3514 4622 6526 7028 9244 13052 16177 22841 30043 32354 45682 60086 64708 91364 120172 210301 420602 580061 841204 1160122 2320244 4060427 7540793 8120854 15081586 16241708 30163172 52785551 105571102 211142204