1900112256 has 224 divisors, whose sum is σ = 6488485200. Its totient is φ = 542702592.

The previous prime is 1900112243. The next prime is 1900112267. The reversal of 1900112256 is 6522110091.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1900112256² = 7220853170802819072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 651730 + ... + 654638.

Almost surely, 2^1900112256 is an apocalyptic number.

1900112256 is a gapful number since it is divisible by the number (16) 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 1900112256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244242600).

1900112256 is an abundant number, since it is smaller than the sum of its proper divisors (4588372944).

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

1900112256 is an frugal number, since it uses more digits than its factorization.

1900112256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1900112256 is about 43590.2770810189. The cubic root of 1900112256 is about 1238.5867214398.

The spelling of 1900112256 in words is "one billion, nine hundred million, one hundred twelve thousand, two hundred fifty-six".