45227200 has 84 divisors (see below), whose sum is σ = 116220240. Its totient is φ = 17290240.

The previous prime is 45227173. The next prime is 45227227. The reversal of 45227200 is 272254.

It is an interprime number because it is at equal distance from previous prime (45227173) and next prime (45227227).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36186 + ... + 37414.

Almost surely, 2^45227200 is an apocalyptic number.

45227200 is a gapful number since it is divisible by the number (40) 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 45227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58110120).

45227200 is an abundant number, since it is smaller than the sum of its proper divisors (70993040).

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

45227200 is a wasteful number, since it uses less digits than its factorization.

45227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 45227200 is about 6725.1170993522. The cubic root of 45227200 is about 356.2869377930.

Adding to 45227200 its reverse (272254), we get a palindrome (45499454).

The spelling of 45227200 in words is "forty-five million, two hundred twenty-seven thousand, two hundred".