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2202233329 = 172693371429
BaseRepresentation
bin1000001101000011…
…0110100111110001
312200110220001012101
42003100312213301
514002232431304
61002305300401
7105400450222
oct20320664761
95613801171
102202233329
11a3011554a
12515634701
1329133405a
1416c69d249
15cd50d8a4
hex834369f1

2202233329 has 16 divisors (see below), whose sum is σ = 2349032400. Its totient is φ = 2057416704.

The previous prime is 2202233317. The next prime is 2202233359. The reversal of 2202233329 is 9233322022.

It can be written as a sum of positive squares in 8 ways, for example, as 499433104 + 1702800225 = 22348^2 + 41265^2 .

It is not a de Polignac number, because 2202233329 - 223 = 2193844721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2202233297 and 2202233306.

It is not an unprimeable number, because it can be changed into a prime (2202233359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1540387 + ... + 1541815.

It is an arithmetic number, because the mean of its divisors is an integer number (146814525).

Almost surely, 22202233329 is an apocalyptic number.

It is an amenable number.

2202233329 is a deficient number, since it is larger than the sum of its proper divisors (146799071).

2202233329 is a wasteful number, since it uses less digits than its factorization.

2202233329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052.

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 2202233329 is about 46927.9589264225. The cubic root of 2202233329 is about 1301.0313962855.

The spelling of 2202233329 in words is "two billion, two hundred two million, two hundred thirty-three thousand, three hundred twenty-nine".

Divisors: 1 17 269 337 1429 4573 5729 24293 90653 384401 481573 1541101 6534817 8186741 129543137 2202233329