Search a number
-
+
159223680 = 27325711359
BaseRepresentation
bin10010111110110…
…00111110000000
3102002121101211100
421133120332000
5311230124210
623444414400
73642243660
oct1137307600
9362541740
10159223680
1181972120
12453a7400
1326cab2c5
141720a1a0
15dea25c0
hex97d8f80

159223680 has 384 divisors, whose sum is σ = 687398400. Its totient is φ = 32993280.

The previous prime is 159223643. The next prime is 159223697. The reversal of 159223680 is 86322951.

159223680 is a `hidden beast` number, since 1 + 592 + 2 + 3 + 68 + 0 = 666.

159223680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

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

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, 443341 + ... + 443699.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 2159223680 is an apocalyptic number.

159223680 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 159223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

159223680 is an abundant number, since it is smaller than the sum of its proper divisors (528174720).

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

159223680 is a wasteful number, since it uses less digits than its factorization.

159223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 159223680 is about 12618.3865846629. The cubic root of 159223680 is about 542.0040758035.

The spelling of 159223680 in words is "one hundred fifty-nine million, two hundred twenty-three thousand, six hundred eighty".