226072000 has 224 divisors, whose sum is σ = 699918336. Its totient is φ = 70272000.

The previous prime is 226071973. The next prime is 226072031. The reversal of 226072000 is 270622.

It is a happy number.

226072000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×226072000² = 102217098368000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615817 + ... + 616183.

Almost surely, 2^226072000 is an apocalyptic number.

226072000 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 226072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349959168).

226072000 is an abundant number, since it is smaller than the sum of its proper divisors (473846336).

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

226072000 is a wasteful number, since it uses less digits than its factorization.

226072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 226072000 is about 15035.6908720551. The cubic root of 226072000 is about 609.1846133268.

The spelling of 226072000 in words is "two hundred twenty-six million, seventy-two thousand".