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213099392 = 2711213759
BaseRepresentation
bin11001011001110…
…10001110000000
3112211222120102002
430230322032000
5414023140032
633051243132
75165213012
oct1454721600
9484876362
10213099392
11aa31a800
125b4494a8
13351c281c
14204321b2
1513a95862
hexcb3a380

213099392 has 48 divisors (see below), whose sum is σ = 466670400. Its totient is φ = 96856320.

The previous prime is 213099389. The next prime is 213099407. The reversal of 213099392 is 293990312.

It is a super-2 number, since 2×2130993922 = 90822701741539328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8609 + ... + 22367.

It is an arithmetic number, because the mean of its divisors is an integer number (9722300).

Almost surely, 2213099392 is an apocalyptic number.

213099392 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213099392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233335200).

213099392 is an abundant number, since it is smaller than the sum of its proper divisors (253571008).

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

213099392 is a wasteful number, since it uses less digits than its factorization.

213099392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13795 (or 13772 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 38.

The square root of 213099392 is about 14597.9242360001. The cubic root of 213099392 is about 597.3021392795.

The spelling of 213099392 in words is "two hundred thirteen million, ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 13759 15488 27518 55036 110072 151349 220144 302698 440288 605396 880576 1210792 1664839 1761152 2421584 3329678 4843168 6659356 9686336 13318712 19372672 26637424 53274848 106549696 213099392