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151442200 = 235271353157
BaseRepresentation
bin10010000011011…
…01001100011000
3101112222001122101
421001231030120
5302232122300
623005533144
73516144310
oct1101551430
9345861571
10151442200
1178537848
12428741b4
13254b5490
1416182440
15d466b6a
hex906d318

151442200 has 192 divisors, whose sum is σ = 444346560. Its totient is φ = 46725120.

The previous prime is 151442197. The next prime is 151442201. The reversal of 151442200 is 2244151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151442201) 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 47 ways as a sum of consecutive naturals, for example, 964522 + ... + 964678.

It is an arithmetic number, because the mean of its divisors is an integer number (2314305).

Almost surely, 2151442200 is an apocalyptic number.

151442200 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 151442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222173280).

151442200 is an abundant number, since it is smaller than the sum of its proper divisors (292904360).

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

151442200 is a wasteful number, since it uses less digits than its factorization.

151442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 151442200 is about 12306.1854366006. The cubic root of 151442200 is about 533.0267074279.

Adding to 151442200 its reverse (2244151), we get a palindrome (153686351).

The spelling of 151442200 in words is "one hundred fifty-one million, four hundred forty-two thousand, two hundred".