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2202143329 = 16722812
BaseRepresentation
bin1000001101000010…
…0000101001100001
312200110201110202001
42003100200221201
514002222041304
61002303324001
7105366623641
oct20320405141
95613643661
102202143329
11a30063971
125155b0601
132913020b9
1416c678521
15cd4e1da4
hex83420a61

2202143329 has 9 divisors (see below), whose sum is σ = 2223320851. Its totient is φ = 2181166960.

The previous prime is 2202143261. The next prime is 2202143351. The reversal of 2202143329 is 9233412022.

The square root of 2202143329 is 46927.

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., 1488184929 + 713958400 = 38577^2 + 26720^2 .

It is not a de Polignac number, because 2202143329 - 223 = 2193754721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2202143297 and 2202143306.

It is not an unprimeable number, because it can be changed into a prime (2202143389) 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, 7836669 + ... + 7836949.

Almost surely, 22202143329 is an apocalyptic number.

2202143329 is the 46927-th square number.

2202143329 is the 23464-th centered octagonal number.

It is an amenable number.

2202143329 is a deficient number, since it is larger than the sum of its proper divisors (21177522).

2202143329 is an frugal number, since it uses more digits than its factorization.

2202143329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The cubic root of 2202143329 is about 1301.0136726987.

Multiplying 2202143329 by its product of nonzero digits (5184), we get a square (11415911017536 = 33787442).

The spelling of 2202143329 in words is "two billion, two hundred two million, one hundred forty-three thousand, three hundred twenty-nine".

Divisors: 1 167 281 27889 46927 78961 7836809 13186487 2202143329