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213880452 = 223294314293
BaseRepresentation
bin11001011111110…
…00111010000100
3112220110020211020
430233320322010
5414223133302
633120111140
75204645112
oct1457707204
9486406736
10213880452
11aa803605
125b7654b0
13354071a6
1420596ab2
1513b9bebc
hexcbf8e84

213880452 has 48 divisors (see below), whose sum is σ = 528306240. Its totient is φ = 67229568.

The previous prime is 213880379. The next prime is 213880483. The reversal of 213880452 is 254088312.

213880452 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 7818 + ... + 22110.

It is an arithmetic number, because the mean of its divisors is an integer number (11006380).

Almost surely, 2213880452 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 213880452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264153120).

213880452 is an abundant number, since it is smaller than the sum of its proper divisors (314425788).

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

213880452 is a wasteful number, since it uses less digits than its factorization.

213880452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14372 (or 14370 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 213880452 is about 14624.6522009927. The cubic root of 213880452 is about 598.0310010289.

The spelling of 213880452 in words is "two hundred thirteen million, eight hundred eighty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 1247 2494 3741 4988 7482 14293 14964 28586 42879 57172 85758 171516 414497 614599 828994 1229198 1243491 1657988 1843797 2458396 2486982 3687594 4973964 7375188 17823371 35646742 53470113 71293484 106940226 213880452