226998562560 has 1152 divisors, whose sum is σ = 976536207360. Its totient is φ = 43524096000.

The previous prime is 226998562559. The next prime is 226998562601. The reversal of 226998562560 is 65265899622.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 226998562494 and 226998562503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197217985 + ... + 197219135.

It is an arithmetic number, because the mean of its divisors is an integer number (847687680).

Almost surely, 2^226998562560 is an apocalyptic number.

226998562560 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 226998562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488268103680).

226998562560 is an abundant number, since it is smaller than the sum of its proper divisors (749537644800).

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

226998562560 is a wasteful number, since it uses less digits than its factorization.

226998562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 226998562560 in words is "two hundred twenty-six billion, nine hundred ninety-eight million, five hundred sixty-two thousand, five hundred sixty".