2249226100 has 72 divisors (see below), whose sum is σ = 5335346016. Its totient is φ = 816240000.

The previous prime is 2249226071. The next prime is 2249226101. The reversal of 2249226100 is 16229422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249226101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626310 + ... + 629890.

It is an arithmetic number, because the mean of its divisors is an integer number (74102028).

Almost surely, 2^2249226100 is an apocalyptic number.

2249226100 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 2249226100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667673008).

2249226100 is an abundant number, since it is smaller than the sum of its proper divisors (3086119916).

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

2249226100 is a wasteful number, since it uses less digits than its factorization.

2249226100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4177 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2249226100 is about 47426.0065786695. The cubic root of 2249226100 is about 1310.2204434492.

The spelling of 2249226100 in words is "two billion, two hundred forty-nine million, two hundred twenty-six thousand, one hundred".