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2198015689 = 17322712
BaseRepresentation
bin1000001100000011…
…0000111011001001
312200011221202200111
42003000300323021
514000143000224
61002035034321
7105316553002
oct20300607311
95604852614
102198015689
11a287a47a1
1251413b9a1
132904b83cc
1416bcc21a9
15cce78d94
hex83030ec9

2198015689 has 9 divisors (see below), whose sum is σ = 2218982439. Its totient is φ = 2177246520.

The previous prime is 2198015671. The next prime is 2198015719. The reversal of 2198015689 is 9865108912.

The square root of 2198015689 is 46883.

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., 1999431225 + 198584464 = 44715^2 + 14092^2 .

It is not a de Polignac number, because 2198015689 - 29 = 2198015177 is a prime.

It is a super-4 number, since 4×21980156894 (a number of 38 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2198015609) 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, 8110624 + ... + 8110894.

Almost surely, 22198015689 is an apocalyptic number.

2198015689 is the 46883-rd square number.

2198015689 is the 23442-nd centered octagonal number.

It is an amenable number.

2198015689 is a deficient number, since it is larger than the sum of its proper divisors (20966750).

2198015689 is an frugal number, since it uses more digits than its factorization.

2198015689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 49.

The cubic root of 2198015689 is about 1300.2003022722.

Multiplying 2198015689 by its sum of digits (49), we get a square (107702768761 = 3281812).

The spelling of 2198015689 in words is "two billion, one hundred ninety-eight million, fifteen thousand, six hundred eighty-nine".

Divisors: 1 173 271 29929 46883 73441 8110759 12705293 2198015689