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203239296 = 27321341331
BaseRepresentation
bin11000001110100…
…10111110000000
3112011102121220100
430013102332000
5404012124141
632100042400
75015335251
oct1407227600
9464377810
10203239296
11a47a5767
1258093400
133314c850
141cdc6b28
1512c990b6
hexc1d2f80

203239296 has 192 divisors, whose sum is σ = 647141040. Its totient is φ = 60825600.

The previous prime is 203239277. The next prime is 203239357. The reversal of 203239296 is 692932302.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2032392962 = 82612422877151232, which contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 203239296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613851 + ... + 614181.

Almost surely, 2203239296 is an apocalyptic number.

203239296 is a gapful number since it is divisible by the number (26) 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 203239296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323570520).

203239296 is an abundant number, since it is smaller than the sum of its proper divisors (443901744).

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

203239296 is a wasteful number, since it uses less digits than its factorization.

203239296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 203239296 is about 14256.2020187706. The cubic root of 203239296 is about 587.9439069079.

It can be divided in two parts, 2032 and 39296, that added together give a triangular number (41328 = T287).

The spelling of 203239296 in words is "two hundred three million, two hundred thirty-nine thousand, two hundred ninety-six".