2258100 has 108 divisors (see below), whose sum is σ = 7661836. Its totient is φ = 552960.

The previous prime is 2258083. The next prime is 2258111. The reversal of 2258100 is 18522.

It can be written as a sum of positive squares in 6 ways, for example, as 467856 + 1790244 = 684^2 + 1338^2 .

It is a super-2 number, since 2×2258100² = 10198031220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11604 + ... + 11796.

2^2258100 is an apocalyptic number.

2258100 is a gapful number since it is divisible by the number (20) 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 2258100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830918).

2258100 is an abundant number, since it is smaller than the sum of its proper divisors (5403736).

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

2258100 is a wasteful number, since it uses less digits than its factorization.

2258100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2258100 is about 1502.6975743642. The cubic root of 2258100 is about 131.1941258772.

It can be divided in two parts, 225 and 8100, that multiplied together give a square (1822500 = 1350²).

The spelling of 2258100 in words is "two million, two hundred fifty-eight thousand, one hundred".