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254216204225 = 52412161114769
BaseRepresentation
bin1110110011000001110…
…1110110111111000001
3220022011202122020000022
43230300131312333001
513131113322013400
6312441343303225
724236500040234
oct3546035667701
9808152566008
10254216204225
11988a3468955
12413285aab15
131ac8471c3a9
14c43876541b
15692d049b85
hex3b30776fc1

254216204225 has 24 divisors (see below), whose sum is σ = 323068827480. Its totient is φ = 198319104000.

The previous prime is 254216204117. The next prime is 254216204269. The reversal of 254216204225 is 522402612452.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 160903672384 + 93312531841 = 401128^2 + 305471^2 .

It is not a de Polignac number, because 254216204225 - 212 = 254216200129 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, 2157641 + ... + 2272409.

It is an arithmetic number, because the mean of its divisors is an integer number (13461201145).

Almost surely, 2254216204225 is an apocalyptic number.

254216204225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

254216204225 is a deficient number, since it is larger than the sum of its proper divisors (68852623255).

254216204225 is a wasteful number, since it uses less digits than its factorization.

254216204225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116981 (or 116976 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 254216204225 its reverse (522402612452), we get a palindrome (776618816677).

The spelling of 254216204225 in words is "two hundred fifty-four billion, two hundred sixteen million, two hundred four thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 2161 10805 54025 88601 114769 443005 573845 2215025 2869225 4705529 23527645 117638225 248015809 1240079045 6200395225 10168648169 50843240845 254216204225