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122230225 = 5213419173
BaseRepresentation
bin1110100100100…
…01010111010001
322111222221100101
413102101113101
5222242331400
620043452401
73012640225
oct722212721
9274887311
10122230225
1162aa5417
1234b27101
131c4280a0
141233a785
15aae656a
hex74915d1

122230225 has 24 divisors (see below), whose sum is σ = 167223672. Its totient is φ = 88051200.

The previous prime is 122230219. The next prime is 122230231. The reversal of 122230225 is 522032221.

It is an interprime number because it is at equal distance from previous prime (122230219) and next prime (122230231).

It can be written as a sum of positive squares in 12 ways, for example, as 114896961 + 7333264 = 10719^2 + 2708^2 .

It is not a de Polignac number, because 122230225 - 23 = 122230217 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8739 + ... + 17911.

It is an arithmetic number, because the mean of its divisors is an integer number (6967653).

Almost surely, 2122230225 is an apocalyptic number.

It is an amenable number.

122230225 is a deficient number, since it is larger than the sum of its proper divisors (44993447).

122230225 is a wasteful number, since it uses less digits than its factorization.

122230225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9232 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 122230225 is about 11055.7779011700. Note that the first 3 decimals coincide. The cubic root of 122230225 is about 496.2793488512.

Adding to 122230225 its reverse (522032221), we get a palindrome (644262446).

The spelling of 122230225 in words is "one hundred twenty-two million, two hundred thirty thousand, two hundred twenty-five".

Divisors: 1 5 13 25 41 65 205 325 533 1025 2665 9173 13325 45865 119249 229325 376093 596245 1880465 2981225 4889209 9402325 24446045 122230225