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225519930017041 = 112232593572
BaseRepresentation
bin110011010001101111110011…
…010100011000010100010001
31002120111111100200021011120011
4303101233303110120110101
5214024404304041021131
62115350231532514521
765334164046332212
oct6321576324302421
91076444320234504
10225519930017041
1165948513225100
122136333431ba41
1398ab5907c871a
143d99319717409
151b11456cc00b1
hexcd1bf3518511

225519930017041 has 27 divisors (see below), whose sum is σ = 259136133642043. Its totient is φ = 196100983160720.

The previous prime is 225519930016993. The next prime is 225519930017047. The reversal of 225519930017041 is 140710039915522.

The square root of 225519930017041 is 15017321.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 117226852308225 + 108293077708816 = 10827135^2 + 10406396^2 .

It is a de Polignac number, because none of the positive numbers 2k-225519930017041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (225519930017047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3799352535 + ... + 3799411891.

Almost surely, 2225519930017041 is an apocalyptic number.

225519930017041 is the 15017321-st square number.

225519930017041 is the 7508661-st centered octagonal number.

It is an amenable number.

225519930017041 is a deficient number, since it is larger than the sum of its proper divisors (33616203625002).

225519930017041 is an frugal number, since it uses more digits than its factorization.

225519930017041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118782 (or 59391 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

The spelling of 225519930017041 in words is "two hundred twenty-five trillion, five hundred nineteen billion, nine hundred thirty million, seventeen thousand, forty-one".

Divisors: 1 11 23 121 253 529 2783 5819 59357 64009 652927 1365211 7182197 15017321 31399853 165190531 345398383 3523253449 3799382213 38755787939 81034829327 426313667329 891383122597 1863801074521 9805214348567 20501811819731 225519930017041