225420100 has 18 divisors (see below), whose sum is σ = 489161834. Its totient is φ = 90168000.

The previous prime is 225420089. The next prime is 225420109. The reversal of 225420100 is 1024522.

It can be written as a sum of positive squares in 3 ways, for example, as 44302336 + 181117764 = 6656^2 + 13458^2 .

It is not an unprimeable number, because it can be changed into a prime (225420109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1127001 + ... + 1127200.

Almost surely, 2^225420100 is an apocalyptic number.

225420100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225420100 is an abundant number, since it is smaller than the sum of its proper divisors (263741734).

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

225420100 is a wasteful number, since it uses less digits than its factorization.

225420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254215 (or 2254208 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 225420100 is about 15013.9968029835. The cubic root of 225420100 is about 608.5985024413.

Adding to 225420100 its reverse (1024522), we get a palindrome (226444622).

The spelling of 225420100 in words is "two hundred twenty-five million, four hundred twenty thousand, one hundred".