257022150 has 324 divisors, whose sum is σ = 865780524. Its totient is φ = 50265600.

The previous prime is 257022127. The next prime is 257022151. The reversal of 257022150 is 51220752.

It is a self number, because there is not a number n which added to its sum of digits gives 257022150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257022151) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 15118942 + ... + 15118958.

Almost surely, 2^257022150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257022150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432890262).

257022150 is an abundant number, since it is smaller than the sum of its proper divisors (608758374).

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

257022150 is a wasteful number, since it uses less digits than its factorization.

257022150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 257022150 is about 16031.9103665159. The cubic root of 257022150 is about 635.8043828994.

Multiplying 257022150 by its sum of digits (24), we get a square (6168531600 = 78540²).

The spelling of 257022150 in words is "two hundred fifty-seven million, twenty-two thousand, one hundred fifty".