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122106225 = 3521679749
BaseRepresentation
bin1110100011100…
…11000101110001
322111202122020210
413101303011301
5222224344400
620041054333
73011612553
oct721630561
9274678223
10122106225
1162a2023a
1234a873a9
131c3b3807
14123074d3
15aabe950
hex7473171

122106225 has 24 divisors (see below), whose sum is σ = 203112000. Its totient is φ = 64726720.

The previous prime is 122106209. The next prime is 122106233. The reversal of 122106225 is 522601221.

It is a happy number.

It is not a de Polignac number, because 122106225 - 24 = 122106209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7651 + ... + 17399.

It is an arithmetic number, because the mean of its divisors is an integer number (8463000).

Almost surely, 2122106225 is an apocalyptic number.

122106225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122106225 is a deficient number, since it is larger than the sum of its proper divisors (81005775).

122106225 is a wasteful number, since it uses less digits than its factorization.

122106225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9929 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 122106225 is about 11050.1685507507. The cubic root of 122106225 is about 496.1114704047. Note that the first 3 decimals are identical.

Adding to 122106225 its reverse (522601221), we get a palindrome (644707446).

The spelling of 122106225 in words is "one hundred twenty-two million, one hundred six thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 75 167 501 835 2505 4175 9749 12525 29247 48745 146235 243725 731175 1628083 4884249 8140415 24421245 40702075 122106225