45522000 has 200 divisors, whose sum is σ = 165013992. Its totient is φ = 12096000.

The previous prime is 45521999. The next prime is 45522017. The reversal of 45522000 is 22554.

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 44836416 = 828^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161860 + ... + 162140.

Almost surely, 2^45522000 is an apocalyptic number.

45522000 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 45522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82506996).

45522000 is an abundant number, since it is smaller than the sum of its proper divisors (119491992).

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

45522000 is a wasteful number, since it uses less digits than its factorization.

45522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45522000 is about 6746.9993330369. Note that the first 3 decimals coincide. The cubic root of 45522000 is about 357.0593785845.

Adding to 45522000 its reverse (22554), we get a palindrome (45544554).

The spelling of 45522000 in words is "forty-five million, five hundred twenty-two thousand".