312252150 has 192 divisors, whose sum is σ = 935940096. Its totient is φ = 67392000.

The previous prime is 312252121. The next prime is 312252167. The reversal of 312252150 is 51252213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1725060 + ... + 1725240.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^312252150 is an apocalyptic number.

312252150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312252150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467970048).

312252150 is an abundant number, since it is smaller than the sum of its proper divisors (623687946).

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

312252150 is a wasteful number, since it uses less digits than its factorization.

312252150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 312252150 is about 17670.6578824898. The cubic root of 312252150 is about 678.4249517896.

The spelling of 312252150 in words is "three hundred twelve million, two hundred fifty-two thousand, one hundred fifty".