Search a number
-
+
2232120129 = 355710611259
BaseRepresentation
bin1000010100001011…
…0111001101000001
312202120010110011220
42011002313031001
514032410321004
61005254025253
7106212464601
oct20502671501
95676113156
102232120129
11a45a78988
12523648229
13297599655
1417263cc01
15d0e63dd9
hex850b7341

2232120129 has 16 divisors (see below), whose sum is σ = 2986683840. Its totient is φ = 1482829760.

The previous prime is 2232120119. The next prime is 2232120131. The reversal of 2232120129 is 9210212322.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2232120129 is a prime.

It is a super-3 number, since 3×22321201293 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232120099 and 2232120108.

It is not an unprimeable number, because it can be changed into a prime (2232120109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1772302 + ... + 1773560.

It is an arithmetic number, because the mean of its divisors is an integer number (186667740).

Almost surely, 22232120129 is an apocalyptic number.

It is an amenable number.

2232120129 is a deficient number, since it is larger than the sum of its proper divisors (754563711).

2232120129 is a wasteful number, since it uses less digits than its factorization.

2232120129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2232120129 is about 47245.3185934861. The cubic root of 2232120129 is about 1306.8904607298.

The spelling of 2232120129 in words is "two billion, two hundred thirty-two million, one hundred twenty thousand, one hundred twenty-nine".

Divisors: 1 3 557 1061 1259 1671 3183 3777 590977 701263 1335799 1772931 2103789 4007397 744040043 2232120129