Search a number
-
+
231724152 = 233411192959
BaseRepresentation
bin11011100111111…
…01010001111000
3121011000210210000
431303331101320
5433310133102
634554353000
75512423422
oct1563752170
9534023700
10231724152
11109890870
126572b760
1339013caa
1422abd812
151552401c
hexdcfd478

231724152 has 320 divisors, whose sum is σ = 784080000. Its totient is φ = 63141120.

The previous prime is 231724139. The next prime is 231724153. The reversal of 231724152 is 251427132.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231724153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3927499 + ... + 3927557.

It is an arithmetic number, because the mean of its divisors is an integer number (2450250).

Almost surely, 2231724152 is an apocalyptic number.

231724152 is a gapful number since it is divisible by the number (22) 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 231724152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392040000).

231724152 is an abundant number, since it is smaller than the sum of its proper divisors (552355848).

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

231724152 is a wasteful number, since it uses less digits than its factorization.

231724152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 231724152 is about 15222.4883642590. The cubic root of 231724152 is about 614.2197362397.

The spelling of 231724152 in words is "two hundred thirty-one million, seven hundred twenty-four thousand, one hundred fifty-two".