165226440 has 128 divisors (see below), whose sum is σ = 512749440. Its totient is φ = 42571776.

The previous prime is 165226421. The next prime is 165226459. The reversal of 165226440 is 44622561.

165226440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165226421) and next prime (165226459).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 165226398 and 165226407.

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, 527724 + ... + 528036.

It is an arithmetic number, because the mean of its divisors is an integer number (4005855).

Almost surely, 2^165226440 is an apocalyptic number.

165226440 is a gapful number since it is divisible by the number (10) 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 165226440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256374720).

165226440 is an abundant number, since it is smaller than the sum of its proper divisors (347523000).

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

165226440 is a wasteful number, since it uses less digits than its factorization.

165226440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 165226440 is about 12854.0437217243. The cubic root of 165226440 is about 548.7314455219.

The spelling of 165226440 in words is "one hundred sixty-five million, two hundred twenty-six thousand, four hundred forty".