Search a number
-
+
150231456 = 2533317179
BaseRepresentation
bin10001111010001…
…01100110100000
3101110200112211000
420331011212200
5301424401311
622523552000
73502642404
oct1075054640
9343615730
10150231456
1177890131
124238b600
132518036b
1415d49104
15d2c8056
hex8f459a0

150231456 has 192 divisors, whose sum is σ = 464486400. Its totient is φ = 47174400.

The previous prime is 150231439. The next prime is 150231463. The reversal of 150231456 is 654132051.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1901625 + ... + 1901703.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2150231456 is an apocalyptic number.

150231456 is a gapful number since it is divisible by the number (16) 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 150231456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

150231456 is an abundant number, since it is smaller than the sum of its proper divisors (314254944).

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

150231456 is a wasteful number, since it uses less digits than its factorization.

150231456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 150231456 is about 12256.8942232525. The cubic root of 150231456 is about 531.6024315936.

The spelling of 150231456 in words is "one hundred fifty million, two hundred thirty-one thousand, four hundred fifty-six".