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213332868 = 223272120937
BaseRepresentation
bin11001011011100…
…11001110000100
3112212102102200100
430231303032010
5414103122433
633100244100
75200204500
oct1455631604
9485372610
10213332868
11aa46a161
125b540630
1335274b88
1420493300
1513adeb13
hexcb73384

213332868 has 54 divisors (see below), whose sum is σ = 627305406. Its totient is φ = 60951744.

The previous prime is 213332851. The next prime is 213332869. The reversal of 213332868 is 868233312.

213332868 is digitally balanced in base 2, base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 208744704 + 4588164 = 14448^2 + 2142^2 .

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

213332868 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (213332869) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58705 + ... + 62232.

Almost surely, 2213332868 is an apocalyptic number.

213332868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

213332868 is an abundant number, since it is smaller than the sum of its proper divisors (413972538).

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

213332868 is a wasteful number, since it uses less digits than its factorization.

213332868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120961 (or 120949 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 213332868 is about 14605.9189371980. The cubic root of 213332868 is about 597.5201984267.

The spelling of 213332868 in words is "two hundred thirteen million, three hundred thirty-two thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 120937 241874 362811 483748 725622 846559 1088433 1451244 1693118 2176866 2539677 3386236 4353732 5079354 5925913 7619031 10158708 11851826 15238062 17777739 23703652 30476124 35555478 53333217 71110956 106666434 213332868