Search a number
-
+
234997881696 = 2535591034973
BaseRepresentation
bin1101101011011011110…
…1110001101101100000
3211110120101222021200000
43122312331301231200
512322233424203241
6255542340100000
722656316015344
oct3326675615540
9743511867600
10234997881696
11907311a5776
1239664394600
1319210c80906
14b5341d9624
1561a5c36eb6
hex36b6f71b60

234997881696 has 288 divisors, whose sum is σ = 711757912320. Its totient is φ = 76242000384.

The previous prime is 234997881689. The next prime is 234997881733. The reversal of 234997881696 is 696188799432.

234997881696 is a `hidden beast` number, since 2 + 3 + 499 + 78 + 8 + 1 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47252266 + ... + 47257238.

It is an arithmetic number, because the mean of its divisors is an integer number (2471381640).

Almost surely, 2234997881696 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 234997881696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355878956160).

234997881696 is an abundant number, since it is smaller than the sum of its proper divisors (476760030624).

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

234997881696 is a wasteful number, since it uses less digits than its factorization.

234997881696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5140 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 72.

The spelling of 234997881696 in words is "two hundred thirty-four billion, nine hundred ninety-seven million, eight hundred eighty-one thousand, six hundred ninety-six".