2224151400 has 192 divisors, whose sum is σ = 7455326400. Its totient is φ = 546600960.

The previous prime is 2224151399. The next prime is 2224151417. The reversal of 2224151400 is 41514222.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419164 + ... + 424436.

It is an arithmetic number, because the mean of its divisors is an integer number (38829825).

Almost surely, 2^2224151400 is an apocalyptic number.

2224151400 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 2224151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727663200).

2224151400 is an abundant number, since it is smaller than the sum of its proper divisors (5231175000).

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

2224151400 is a wasteful number, since it uses less digits than its factorization.

2224151400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348 (or 5339 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2224151400 is about 47160.9096604381. The cubic root of 2224151400 is about 1305.3333949496. Note that the first 4 decimals are identical.

Adding to 2224151400 its reverse (41514222), we get a palindrome (2265665622).

The spelling of 2224151400 in words is "two billion, two hundred twenty-four million, one hundred fifty-one thousand, four hundred".