Search a number
-
+
2231185093 = 29175343889
BaseRepresentation
bin1000010011111101…
…0010111011000101
312202111100221112221
42010333102323011
514032140410333
61005222012341
7106201521544
oct20477227305
95674327487
102231185093
11a4549a425
125232770b1
1329732cb87
1417247815b
15d0d2bd2d
hex84fd2ec5

2231185093 has 8 divisors (see below), whose sum is σ = 2309491800. Its totient is φ = 2152969728.

The previous prime is 2231185087. The next prime is 2231185129. The reversal of 2231185093 is 3905811322.

It can be written as a sum of positive squares in 4 ways, for example, as 291487329 + 1939697764 = 17073^2 + 44042^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2231185093 is a prime.

It is a super-3 number, since 3×22311850933 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231185003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28893 + ... + 72781.

It is an arithmetic number, because the mean of its divisors is an integer number (288686475).

Almost surely, 22231185093 is an apocalyptic number.

It is an amenable number.

2231185093 is a deficient number, since it is larger than the sum of its proper divisors (78306707).

2231185093 is a wasteful number, since it uses less digits than its factorization.

2231185093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45671.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 2231185093 is about 47235.4220156865. The cubic root of 2231185093 is about 1306.7079496001.

The spelling of 2231185093 in words is "two billion, two hundred thirty-one million, one hundred eighty-five thousand, ninety-three".

Divisors: 1 29 1753 43889 50837 1272781 76937417 2231185093