Search a number
-
+
149930012232 = 2333721113235973
BaseRepresentation
bin1000101110100010000…
…1100110111001001000
3112022222212202202201000
42023220201212321020
54424024040342412
6152513224255000
713555256035200
oct2135041467110
9468885682630
10149930012232
1158648646320
1225083311460
13111a4c16390
147384373400
153d778a74dc
hex22e8866e48

149930012232 has 1536 divisors, whose sum is σ = 612251136000. Its totient is φ = 33338511360.

The previous prime is 149930012147. The next prime is 149930012237. The reversal of 149930012232 is 232210039941.

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

It is not an unprimeable number, because it can be changed into a prime (149930012237) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2053835748 + ... + 2053835820.

It is an arithmetic number, because the mean of its divisors is an integer number (398601000).

Almost surely, 2149930012232 is an apocalyptic number.

149930012232 is a gapful number since it is divisible by the number (12) 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 149930012232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306125568000).

149930012232 is an abundant number, since it is smaller than the sum of its proper divisors (462321123768).

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

149930012232 is a wasteful number, since it uses less digits than its factorization.

149930012232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 149930012232 in words is "one hundred forty-nine billion, nine hundred thirty million, twelve thousand, two hundred thirty-two".