Search a number
-
+
238164696 = 2332721117192
BaseRepresentation
bin11100011001000…
…01101011011000
3121121011000112200
432030201223120
5441432232241
635344410200
75621236500
oct1614415330
9547130480
10238164696
1111248a730
1267916960
133a45a673
14238b8a00
1515d974b6
hexe321ad8

238164696 has 432 divisors, whose sum is σ = 914720040. Its totient is φ = 55157760.

The previous prime is 238164653. The next prime is 238164709. The reversal of 238164696 is 696461832.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12534975 + ... + 12534993.

Almost surely, 2238164696 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 238164696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457360020).

238164696 is an abundant number, since it is smaller than the sum of its proper divisors (676555344).

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

238164696 is a wasteful number, since it uses less digits than its factorization.

238164696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 238164696 is about 15432.5855254393. The cubic root of 238164696 is about 619.8583582091.

The spelling of 238164696 in words is "two hundred thirty-eight million, one hundred sixty-four thousand, six hundred ninety-six".