226670080 has 240 divisors, whose sum is σ = 685737360. Its totient is φ = 71221248.

The previous prime is 226670023. The next prime is 226670137. The reversal of 226670080 is 80076622.

226670080 = T₁₇₃₆ + T₁₇₃₇ + ... + T₁₈₇₄.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (226670023) and next prime (226670137).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1630651 + ... + 1630789.

It is an arithmetic number, because the mean of its divisors is an integer number (2857239).

Almost surely, 2^226670080 is an apocalyptic number.

226670080 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 226670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342868680).

226670080 is an abundant number, since it is smaller than the sum of its proper divisors (459067280).

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

226670080 is a wasteful number, since it uses less digits than its factorization.

226670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 226670080 is about 15055.5664124602. The cubic root of 226670080 is about 609.7213454494.

The spelling of 226670080 in words is "two hundred twenty-six million, six hundred seventy thousand, eighty".