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234422496 = 25327112312
BaseRepresentation
bin11011111100100…
…00000011100000
3121100002220012200
431332100003200
5440003004441
635132253200
75544362340
oct1576200340
9540086180
10234422496
11110364100
1266611200
133974a249
14231c2d20
15158a87b6
hexdf900e0

234422496 has 324 divisors, whose sum is σ = 865316088. Its totient is φ = 58924800.

The previous prime is 234422479. The next prime is 234422501. The reversal of 234422496 is 694224432.

234422496 is a `hidden beast` number, since 2 + 344 + 224 + 96 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (82944) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 234422496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7562001 + ... + 7562031.

Almost surely, 2234422496 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 234422496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432658044).

234422496 is an abundant number, since it is smaller than the sum of its proper divisors (630893592).

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

234422496 is a wasteful number, since it uses less digits than its factorization.

234422496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 54 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 234422496 is about 15310.8620266790. The cubic root of 234422496 is about 616.5946638438.

The spelling of 234422496 in words is "two hundred thirty-four million, four hundred twenty-two thousand, four hundred ninety-six".