225201024 has 96 divisors (see below), whose sum is σ = 651596400. Its totient is φ = 74655744.

The previous prime is 225201007. The next prime is 225201049. The reversal of 225201024 is 420102522.

225201024 = T₂₇₂ + T₂₇₃ + ... + T₁₁₁₀.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 225200988 and 225201006.

It is a congruent number.

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, 267997 + ... + 268835.

Almost surely, 2^225201024 is an apocalyptic number.

225201024 is a gapful number since it is divisible by the number (24) 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 225201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325798200).

225201024 is an abundant number, since it is smaller than the sum of its proper divisors (426395376).

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

225201024 is a wasteful number, since it uses less digits than its factorization.

225201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 225201024 is about 15006.6993039775. The cubic root of 225201024 is about 608.4012817244.

Adding to 225201024 its reverse (420102522), we get a palindrome (645303546).

The spelling of 225201024 in words is "two hundred twenty-five million, two hundred one thousand, twenty-four".