2229845400 has 144 divisors (see below), whose sum is σ = 7814298960. Its totient is φ = 568761600.

The previous prime is 2229845399. The next prime is 2229845411. The reversal of 2229845400 is 45489222.

2229845400 is a `hidden beast` number, since 2 + 22 + 98 + 4 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 14470 + ... + 68330.

It is an arithmetic number, because the mean of its divisors is an integer number (54265965).

Almost surely, 2^2229845400 is an apocalyptic number.

2229845400 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 2229845400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907149480).

2229845400 is an abundant number, since it is smaller than the sum of its proper divisors (5584453560).

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

2229845400 is a wasteful number, since it uses less digits than its factorization.

2229845400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53906 (or 53894 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2229845400 is about 47221.2388655783. The cubic root of 2229845400 is about 1306.4463639537.

The spelling of 2229845400 in words is "two billion, two hundred twenty-nine million, eight hundred forty-five thousand, four hundred".