226961064 has 96 divisors (see below), whose sum is σ = 673077600. Its totient is φ = 68519040.

The previous prime is 226961057. The next prime is 226961083. The reversal of 226961064 is 460169622.

It is a super-2 number, since 2×226961064² = 103022649144024192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402847 + ... + 403409.

It is an arithmetic number, because the mean of its divisors is an integer number (7011225).

Almost surely, 2^226961064 is an apocalyptic number.

226961064 is a gapful number since it is divisible by the number (24) 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 226961064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336538800).

226961064 is an abundant number, since it is smaller than the sum of its proper divisors (446116536).

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

226961064 is a wasteful number, since it uses less digits than its factorization.

226961064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226961064 is about 15065.2269813634. The cubic root of 226961064 is about 609.9821404786.

The spelling of 226961064 in words is "two hundred twenty-six million, nine hundred sixty-one thousand, sixty-four".