42226900 has 36 divisors (see below), whose sum is σ = 94798620. Its totient is φ = 16307200.

The previous prime is 42226897. The next prime is 42226907. The reversal of 42226900 is 962224.

It can be written as a sum of positive squares in 6 ways, for example, as 391876 + 41835024 = 626^2 + 6468^2 .

It is a super-2 number, since 2×42226900² = 3566222167220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42226907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4381 + ... + 10180.

It is an arithmetic number, because the mean of its divisors is an integer number (2633295).

Almost surely, 2^42226900 is an apocalyptic number.

It is an amenable number.

42226900 is an abundant number, since it is smaller than the sum of its proper divisors (52571720).

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

42226900 is a wasteful number, since it uses less digits than its factorization.

42226900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14604 (or 14597 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 42226900 is about 6498.2228339755. Note that the first 3 decimals coincide. The cubic root of 42226900 is about 348.2275013049.

The spelling of 42226900 in words is "forty-two million, two hundred twenty-six thousand, nine hundred".