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2218315801 = 13236232
BaseRepresentation
bin1000010000111000…
…1101000000011001
312201121011010012111
42010032031000121
514020342101201
61004042112321
7105654242002
oct20416150031
95647133174
102218315801
11a391aa549
1251aaab6a1
13294775300
141708881a9
15ceb38b51
hex8438d019

2218315801 has 9 divisors (see below), whose sum is σ = 2402744799. Its totient is φ = 2047110936.

The previous prime is 2218315793. The next prime is 2218315819. The reversal of 2218315801 is 1085138122.

The square root of 2218315801 is 47099.

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., 328153225 + 1890162576 = 18115^2 + 43476^2 .

It is not a de Polignac number, because 2218315801 - 23 = 2218315793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2218315831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 610476 + ... + 614098.

Almost surely, 22218315801 is an apocalyptic number.

2218315801 is the 47099-th square number.

2218315801 is the 23550-th centered octagonal number.

It is an amenable number.

2218315801 is a deficient number, since it is larger than the sum of its proper divisors (184428998).

2218315801 is an frugal number, since it uses more digits than its factorization.

2218315801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7272 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The cubic root of 2218315801 is about 1304.1907757894.

The spelling of 2218315801 in words is "two billion, two hundred eighteen million, three hundred fifteen thousand, eight hundred one".

Divisors: 1 13 169 3623 47099 612287 13126129 170639677 2218315801