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2242031329 = 23598291993
BaseRepresentation
bin1000010110100010…
…1010111011100001
312210020202222210101
42011220222323201
514042430000304
61010250302401
7106362644326
oct20550527341
95706688711
102242031329
11a5062835a
12526a27a01
13299659975
14173a9cb4d
15d1c708a4
hex85a2aee1

2242031329 has 16 divisors (see below), whose sum is σ = 2383228800. Its totient is φ = 2104603776.

The previous prime is 2242031303. The next prime is 2242031347. The reversal of 2242031329 is 9231302422.

It is not a de Polignac number, because 2242031329 - 219 = 2241507041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2242031297 and 2242031306.

It is not an unprimeable number, because it can be changed into a prime (2242034329) 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, 1123957 + ... + 1125949.

It is an arithmetic number, because the mean of its divisors is an integer number (148951800).

Almost surely, 22242031329 is an apocalyptic number.

It is an amenable number.

2242031329 is a deficient number, since it is larger than the sum of its proper divisors (141197471).

2242031329 is a wasteful number, since it uses less digits than its factorization.

2242031329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904.

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

The square root of 2242031329 is about 47350.0932311648. The cubic root of 2242031329 is about 1308.8219171902.

The spelling of 2242031329 in words is "two billion, two hundred forty-two million, thirty-one thousand, three hundred twenty-nine".

Divisors: 1 23 59 829 1357 1993 19067 45839 48911 117587 1124953 1652197 2704501 38000531 97479623 2242031329