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2201580241 = 7267032
BaseRepresentation
bin1000001100111001…
…0111001011010001
312200102122212022221
42003032113023101
514002101031431
61002243301041
7105362060200
oct20316271321
95612585287
102201580241
11a2a809903
1251537a781
13291165a03
1416c56d237
15cd430111
hex833972d1

2201580241 has 9 divisors (see below), whose sum is σ = 2561404041. Its totient is φ = 1886787252.

The previous prime is 2201580203. The next prime is 2201580259. The reversal of 2201580241 is 1420851022.

The square root of 2201580241 is 46921.

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

It is not a de Polignac number, because 2201580241 - 213 = 2201572049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2201580281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 325096 + ... + 331798.

It is an arithmetic number, because the mean of its divisors is an integer number (284600449).

Almost surely, 22201580241 is an apocalyptic number.

2201580241 is the 46921-st square number.

2201580241 is the 23461-st centered octagonal number.

It is an amenable number.

2201580241 is a deficient number, since it is larger than the sum of its proper divisors (359823800).

2201580241 is an frugal number, since it uses more digits than its factorization.

2201580241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13420 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The cubic root of 2201580241 is about 1300.9027735235.

Multiplying 2201580241 by its sum of digits (25), we get a square (55039506025 = 2346052).

The spelling of 2201580241 in words is "two billion, two hundred one million, five hundred eighty thousand, two hundred forty-one".

Divisors: 1 7 49 6703 46921 328447 44930209 314511463 2201580241