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213252676 = 227135091151
BaseRepresentation
bin11001011010111…
…11101001000100
3112212021100200021
430231133221010
5414043041201
633054424524
75166421630
oct1455375104
9485240607
10213252676
11aa41498a
125b502144
1335247520
1420471dc0
1513ac5ea1
hexcb5fa44

213252676 has 48 divisors (see below), whose sum is σ = 460615680. Its totient is φ = 84124800.

The previous prime is 213252671. The next prime is 213252691. The reversal of 213252676 is 676252312.

213252676 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213252671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184701 + ... + 185851.

It is an arithmetic number, because the mean of its divisors is an integer number (9596160).

Almost surely, 2213252676 is an apocalyptic number.

213252676 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213252676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230307840).

213252676 is an abundant number, since it is smaller than the sum of its proper divisors (247363004).

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

213252676 is a wasteful number, since it uses less digits than its factorization.

213252676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1682 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 213252676 is about 14603.1734907177. The cubic root of 213252676 is about 597.4453195994.

The spelling of 213252676 in words is "two hundred thirteen million, two hundred fifty-two thousand, six hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 509 1018 1151 2036 2302 3563 4604 6617 7126 8057 13234 14252 14963 16114 26468 29926 32228 46319 59852 92638 104741 185276 209482 418964 585859 1171718 2343436 4101013 7616167 8202026 15232334 16404052 30464668 53313169 106626338 213252676