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213292896 = 2533171671
BaseRepresentation
bin11001011011010…
…01011101100000
3112212100101211220
430231221131200
5414100333041
633055335040
75166650115
oct1455513540
9485311756
10213292896
11aa442123
125b521480
133525c91b
142048290c
1513ad2d66
hexcb69760

213292896 has 48 divisors (see below), whose sum is σ = 577963008. Its totient is φ = 68803200.

The previous prime is 213292889. The next prime is 213292903. The reversal of 213292896 is 698292312.

213292896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213292889) and next prime (213292903).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32860 + ... + 38811.

It is an arithmetic number, because the mean of its divisors is an integer number (12040896).

Almost surely, 2213292896 is an apocalyptic number.

It is an amenable number.

213292896 is an abundant number, since it is smaller than the sum of its proper divisors (364670112).

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

213292896 is a wasteful number, since it uses less digits than its factorization.

213292896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71715 (or 71707 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 213292896 is about 14604.5505237238. The cubic root of 213292896 is about 597.4828771433.

The spelling of 213292896 in words is "two hundred thirteen million, two hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 71671 143342 215013 286684 430026 573368 860052 1146736 1720104 2221801 2293472 3440208 4443602 6665403 6880416 8887204 13330806 17774408 26661612 35548816 53323224 71097632 106646448 213292896