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151334568 = 2336711337
BaseRepresentation
bin10010000010100…
…10111010101000
3101112202121000000
421001102322220
5302220201233
623003343000
73515215440
oct1101227250
9345677000
10151334568
11784739a0
1242821a60
13254784a8
1416155120
15d444d13
hex9052ea8

151334568 has 224 divisors, whose sum is σ = 531984960. Its totient is φ = 39191040.

The previous prime is 151334539. The next prime is 151334569. The reversal of 151334568 is 865433151.

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

Its product of digits (43200) is a multiple of the sum of its prime divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151334569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 448896 + ... + 449232.

Almost surely, 2151334568 is an apocalyptic number.

151334568 is a gapful number since it is divisible by the number (18) 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 151334568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265992480).

151334568 is an abundant number, since it is smaller than the sum of its proper divisors (380650392).

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

151334568 is a wasteful number, since it uses less digits than its factorization.

151334568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 360 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 151334568 is about 12301.8115739106. The cubic root of 151334568 is about 532.9004010938.

It can be divided in two parts, 15133 and 4568, that added together give a triangular number (19701 = T198).

The spelling of 151334568 in words is "one hundred fifty-one million, three hundred thirty-four thousand, five hundred sixty-eight".