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213512868 = 22332637517
BaseRepresentation
bin11001011100111…
…11001010100100
3112212202120121000
430232133022210
5414124402433
633104153300
75201554332
oct1456371244
9485676530
10213512868
11aa582418
125b608830
1335308a9a
14204dcb52
1513b28113
hexcb9f2a4

213512868 has 48 divisors (see below), whose sum is σ = 555730560. Its totient is φ = 70890912.

The previous prime is 213512863. The next prime is 213512879. The reversal of 213512868 is 868215312.

It is a happy number.

213512868 is a `hidden beast` number, since 21 + 351 + 286 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213512863) 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, 24646 + ... + 32162.

It is an arithmetic number, because the mean of its divisors is an integer number (11577720).

Almost surely, 2213512868 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 213512868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277865280).

213512868 is an abundant number, since it is smaller than the sum of its proper divisors (342217692).

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

213512868 is a wasteful number, since it uses less digits than its factorization.

213512868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7785 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 213512868 is about 14612.0795234628. The cubic root of 213512868 is about 597.6882041062.

The spelling of 213512868 in words is "two hundred thirteen million, five hundred twelve thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 263 526 789 1052 1578 2367 3156 4734 7101 7517 9468 14202 15034 22551 28404 30068 45102 67653 90204 135306 202959 270612 405918 811836 1976971 3953942 5930913 7907884 11861826 17792739 23723652 35585478 53378217 71170956 106756434 213512868