Search a number
-
+
152233023360 = 2735112655273
BaseRepresentation
bin1000110111000111001…
…0111001011110000000
3112112221101021212001110
42031301302321132000
54443233123221420
6153533534003320
713666322230305
oct2156162713600
9475841255043
10152233023360
115961a633700
1225606646540
13114810a3c62
1475221870ac
153e5eb70ee0
hex2371cb9780

152233023360 has 192 divisors, whose sum is σ = 533366825040. Its totient is φ = 36904919040.

The previous prime is 152233023347. The next prime is 152233023377. The reversal of 152233023360 is 63320332251.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 95317 + ... + 559956.

Almost surely, 2152233023360 is an apocalyptic number.

152233023360 is a gapful number since it is divisible by the number (10) 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 152233023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266683412520).

152233023360 is an abundant number, since it is smaller than the sum of its proper divisors (381133801680).

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

152233023360 is a wasteful number, since it uses less digits than its factorization.

152233023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655317 (or 655294 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The spelling of 152233023360 in words is "one hundred fifty-two billion, two hundred thirty-three million, twenty-three thousand, three hundred sixty".