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2272524241 = 1321921932
BaseRepresentation
bin1000011101110011…
…1111011111010001
312212101011012012111
42013130333133101
514123231233431
61013300025321
7110213065051
oct20734773721
95771135174
102272524241
11a66865109
12535092241
132a2a75100
14177b59561
15d47957b1
hex8773f7d1

2272524241 has 27 divisors (see below), whose sum is σ = 2610638289. Its totient is φ = 1977011712.

The previous prime is 2272524239. The next prime is 2272524257. The reversal of 2272524241 is 1424252722.

The square root of 2272524241 is 47671.

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

It can be written as a sum of positive squares in 4 ways, for example, as 857259841 + 1415264400 = 29279^2 + 37620^2 .

It is not a de Polignac number, because 2272524241 - 21 = 2272524239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2272524281) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11774641 + ... + 11774833.

It is an arithmetic number, because the mean of its divisors is an integer number (96690307).

Almost surely, 22272524241 is an apocalyptic number.

2272524241 is the 47671-st square number.

2272524241 is the 23836-th centered octagonal number.

It is an amenable number.

2272524241 is a deficient number, since it is larger than the sum of its proper divisors (338114048).

2272524241 is an equidigital number, since it uses as much as digits as its factorization.

2272524241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 225 counting only the distinct ones).

The product of its digits is 17920, while the sum is 31.

The cubic root of 2272524241 is about 1314.7287948563.

Adding to 2272524241 its reverse (1424252722), we get a palindrome (3696776963).

The spelling of 2272524241 in words is "two billion, two hundred seventy-two million, five hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 13 19 169 193 247 361 2509 3211 3667 4693 32617 37249 47671 61009 69673 484237 619723 707731 905749 6295081 9200503 11774737 13446889 119606539 174809557 2272524241