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213260268 = 223133793607
BaseRepresentation
bin11001011011000…
…01011111101100
3112212021202002110
430231201133230
5414043312033
633054524020
75166453024
oct1455413754
9485252073
10213260268
11aa41a661
125b506610
133524ab10
1420474a84
1513ac8363
hexcb617ec

213260268 has 48 divisors (see below), whose sum is σ = 537447680. Its totient is φ = 65427264.

The previous prime is 213260251. The next prime is 213260297. The reversal of 213260268 is 862062312.

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, 57321 + ... + 60927.

Almost surely, 2213260268 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 213260268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268723840).

213260268 is an abundant number, since it is smaller than the sum of its proper divisors (324187412).

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

213260268 is a wasteful number, since it uses less digits than its factorization.

213260268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 213260268 is about 14603.4334319022. The cubic root of 213260268 is about 597.4524093909.

The spelling of 213260268 in words is "two hundred thirteen million, two hundred sixty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 379 758 1137 1516 2274 3607 4548 4927 7214 9854 10821 14428 14781 19708 21642 29562 43284 46891 59124 93782 140673 187564 281346 562692 1367053 2734106 4101159 5468212 8202318 16404636 17771689 35543378 53315067 71086756 106630134 213260268