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2247870241 = 891011132213
BaseRepresentation
bin1000010111111011…
…1100011100100001
312210122202122021101
42011332330130201
514100423321431
61011015354401
7106463403361
oct20576743441
95718678241
102247870241
11a53956201
12528982a01
1329a922546
1417477c9a1
15d2525961
hex85fbc721

2247870241 has 16 divisors (see below), whose sum is σ = 2316995280. Its totient is φ = 2180147200.

The previous prime is 2247870227. The next prime is 2247870257. The reversal of 2247870241 is 1420787422.

It can be written as a sum of positive squares in 8 ways, for example, as 50979600 + 2196890641 = 7140^2 + 46871^2 .

It is a cyclic number.

It is not a de Polignac number, because 2247870241 - 27 = 2247870113 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2247870241.

It is not an unprimeable number, because it can be changed into a prime (2247870211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1014651 + ... + 1016863.

It is an arithmetic number, because the mean of its divisors is an integer number (144812205).

Almost surely, 22247870241 is an apocalyptic number.

It is an amenable number.

2247870241 is a deficient number, since it is larger than the sum of its proper divisors (69125039).

2247870241 is a wasteful number, since it uses less digits than its factorization.

2247870241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516.

The product of its (nonzero) digits is 50176, while the sum is 37.

The square root of 2247870241 is about 47411.7099565076. The cubic root of 2247870241 is about 1309.9571186165.

The spelling of 2247870241 in words is "two billion, two hundred forty-seven million, eight hundred seventy thousand, two hundred forty-one".

Divisors: 1 89 101 113 2213 8989 10057 11413 196957 223513 250069 1015757 19892657 22256141 25256969 2247870241