226498752000 has 480 divisors, whose sum is σ = 863831970144. Its totient is φ = 56844288000.

The previous prime is 226498751987. The next prime is 226498752019. The reversal of 226498752000 is 257894622.

226498752000 is a `hidden beast` number, since 2 + 2 + 6 + 49 + 87 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 9780435 + ... + 9803565.

Almost surely, 2^226498752000 is an apocalyptic number.

226498752000 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 226498752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431915985072).

226498752000 is an abundant number, since it is smaller than the sum of its proper divisors (637333218144).

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

226498752000 is a wasteful number, since it uses less digits than its factorization.

226498752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23187 (or 23158 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 226498752000 in words is "two hundred twenty-six billion, four hundred ninety-eight million, seven hundred fifty-two thousand".