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225218801 is a prime number
BaseRepresentation
bin11010110110010…
…01000011110001
3120200210022010002
431123021003301
5430124000201
634203115345
75403220403
oct1533110361
9520708102
10225218801
11106148245
1263512b55
1337876c82
1421ca8b73
1514b8b76b
hexd6c90f1

225218801 has 2 divisors, whose sum is σ = 225218802. Its totient is φ = 225218800.

The previous prime is 225218767. The next prime is 225218803. The reversal of 225218801 is 108812522.

It is a happy number.

225218801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167443600 + 57775201 = 12940^2 + 7601^2 .

It is a cyclic number.

It is not a de Polignac number, because 225218801 - 218 = 224956657 is a prime.

Together with 225218803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (225218803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112609400 + 112609401.

It is an arithmetic number, because the mean of its divisors is an integer number (112609401).

Almost surely, 2225218801 is an apocalyptic number.

It is an amenable number.

225218801 is a deficient number, since it is larger than the sum of its proper divisors (1).

225218801 is an equidigital number, since it uses as much as digits as its factorization.

225218801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 225218801 is about 15007.2915944217. The cubic root of 225218801 is about 608.4172900368.

The spelling of 225218801 in words is "two hundred twenty-five million, two hundred eighteen thousand, eight hundred one".