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214224560225 = 5213659152493
BaseRepresentation
bin1100011110000011000…
…1110110000001100001
3202110221200022012210022
43013200301312001201
512002212441411400
6242225143443225
721322453501034
oct3074061660141
9673850265708
10214224560225
11829411a78a5
1235627456515
1317280304310
14a52333101b
15588c163b85
hex31e0c76061

214224560225 has 12 divisors (see below), whose sum is σ = 286072182396. Its totient is φ = 158196598080.

The previous prime is 214224560219. The next prime is 214224560261. The reversal of 214224560225 is 522065422412.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 222099409 + 214002460816 = 14903^2 + 462604^2 .

It is a de Polignac number, because none of the positive numbers 2k-214224560225 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329575922 + ... + 329576571.

It is an arithmetic number, because the mean of its divisors is an integer number (23839348533).

Almost surely, 2214224560225 is an apocalyptic number.

214224560225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214224560225 is a deficient number, since it is larger than the sum of its proper divisors (71847622171).

214224560225 is a wasteful number, since it uses less digits than its factorization.

214224560225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659152516 (or 659152511 counting only the distinct ones).

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

Adding to 214224560225 its reverse (522065422412), we get a palindrome (736289982637).

The spelling of 214224560225 in words is "two hundred fourteen billion, two hundred twenty-four million, five hundred sixty thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 325 659152493 3295762465 8568982409 16478812325 42844912045 214224560225