Search a number
-
+
2233113162 = 23734723087
BaseRepresentation
bin1000010100011010…
…1001101001001010
312202121222220100220
42011012221221022
514033134110122
61005331210510
7106224102000
oct20506515112
95677886326
102233113162
11a46596a75
12523a46a36
13297856647
1417281aa70
15d10ad25c
hex851a9a4a

2233113162 has 64 divisors (see below), whose sum is σ = 5319475200. Its totient is φ = 624430128.

The previous prime is 2233113161. The next prime is 2233113163. The reversal of 2233113162 is 2613113322.

It is an interprime number because it is at equal distance from previous prime (2233113161) and next prime (2233113163).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2233113161) 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 31 ways as a sum of consecutive naturals, for example, 85183 + ... + 108269.

It is an arithmetic number, because the mean of its divisors is an integer number (83116800).

Almost surely, 22233113162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233113162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659737600).

2233113162 is an abundant number, since it is smaller than the sum of its proper divisors (3086362038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2233113162 is a wasteful number, since it uses less digits than its factorization.

2233113162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23160 (or 23146 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 2233113162 is about 47255.8267518409. The cubic root of 2233113162 is about 1307.0842365831.

Adding to 2233113162 its reverse (2613113322), we get a palindrome (4846226484).

The spelling of 2233113162 in words is "two billion, two hundred thirty-three million, one hundred thirteen thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 343 658 686 987 1029 1974 2058 2303 4606 6909 13818 16121 23087 32242 46174 48363 69261 96726 138522 161609 323218 484827 969654 1085089 1131263 2170178 2262526 3255267 3393789 6510534 6787578 7595623 7918841 15191246 15837682 22786869 23756523 45573738 47513046 53169361 106338722 159508083 319016166 372185527 744371054 1116556581 2233113162