52245200 has 120 divisors (see below), whose sum is σ = 146871552. Its totient is φ = 17487360.

The previous prime is 52245197. The next prime is 52245203. The reversal of 52245200 is 254225.

52245200 = T₃₉₁ + T₃₉₂ + ... + T₇₁₉.

It is an interprime number because it is at equal distance from previous prime (52245197) and next prime (52245203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52245203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131402 + ... + 131798.

Almost surely, 2^52245200 is an apocalyptic number.

52245200 is a gapful number since it is divisible by the number (50) 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 52245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73435776).

52245200 is an abundant number, since it is smaller than the sum of its proper divisors (94626352).

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

52245200 is a wasteful number, since it uses less digits than its factorization.

52245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 52245200 is about 7228.0841168321. The cubic root of 52245200 is about 373.8368701479.

Adding to 52245200 its reverse (254225), we get a palindrome (52499425).

The spelling of 52245200 in words is "fifty-two million, two hundred forty-five thousand, two hundred".