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213142916 = 22743211839
BaseRepresentation
bin11001011010001…
…00110110000100
3112212001210010002
430231010312010
5414031033131
633052220432
75165453630
oct1455046604
9485053102
10213142916
11aa34a478
125b46a718
133520958c
1420443dc0
1513aa36cb
hexcb44d84

213142916 has 48 divisors (see below), whose sum is σ = 438789120. Its totient is φ = 88693920.

The previous prime is 213142859. The next prime is 213142927. The reversal of 213142916 is 619241312.

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, 253625 + ... + 254463.

It is an arithmetic number, because the mean of its divisors is an integer number (9141440).

Almost surely, 2213142916 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 213142916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219394560).

213142916 is an abundant number, since it is smaller than the sum of its proper divisors (225646204).

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

213142916 is a wasteful number, since it uses less digits than its factorization.

213142916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1102 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 213142916 is about 14599.4149197836. The cubic root of 213142916 is about 597.3428013830.

The spelling of 213142916 in words is "two hundred thirteen million, one hundred forty-two thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 43 86 172 211 301 422 602 839 844 1204 1477 1678 2954 3356 5873 5908 9073 11746 18146 23492 36077 36292 63511 72154 127022 144308 177029 252539 254044 354058 505078 708116 1010156 1239203 2478406 4956812 7612247 15224494 30448988 53285729 106571458 213142916