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213165012 = 223233492213
BaseRepresentation
bin11001011010010…
…10001111010100
3112212002220102110
430231022033110
5414032240022
633052511020
75165605224
oct1455121724
9485086373
10213165012
11aa365035
125b47b470
1335216658
142044c084
1513aaa00c
hexcb4a3d4

213165012 has 48 divisors (see below), whose sum is σ = 520732800. Its totient is φ = 67740288.

The previous prime is 213165011. The next prime is 213165041. The reversal of 213165012 is 210561312.

213165012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213165012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213165011) 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, 95218 + ... + 97430.

It is an arithmetic number, because the mean of its divisors is an integer number (10848600).

Almost surely, 2213165012 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 213165012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260366400).

213165012 is an abundant number, since it is smaller than the sum of its proper divisors (307567788).

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

213165012 is a wasteful number, since it uses less digits than its factorization.

213165012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2590 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 213165012 is about 14600.1716428267. The cubic root of 213165012 is about 597.3634423543.

The spelling of 213165012 in words is "two hundred thirteen million, one hundred sixty-five thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 349 698 1047 1396 2094 2213 4188 4426 6639 8027 8852 13278 16054 24081 26556 32108 48162 50899 96324 101798 152697 203596 305394 610788 772337 1544674 2317011 3089348 4634022 9268044 17763751 35527502 53291253 71055004 106582506 213165012