Search a number
-
+
3133022022 = 2321316382141
BaseRepresentation
bin1011101010111110…
…0001111101000110
322002100100000020200
42322233201331012
522404023201042
61234515311330
7140432150664
oct27257417506
98070300220
103133022022
1113685668a9
127352ab546
133ac11a6b0
1421a151c34
151350bcc4c
hexbabe1f46

3133022022 has 48 divisors (see below), whose sum is σ = 7355323248. Its totient is φ = 958080960.

The previous prime is 3133021961. The next prime is 3133022023. The reversal of 3133022022 is 2202203313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3133021986 and 3133022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133022023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2929 + ... + 79212.

It is an arithmetic number, because the mean of its divisors is an integer number (153235901).

Almost surely, 23133022022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677661624).

3133022022 is an abundant number, since it is smaller than the sum of its proper divisors (4222301226).

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

3133022022 is a wasteful number, since it uses less digits than its factorization.

3133022022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82325 (or 82322 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3133022022 is about 55973.4045953969. The cubic root of 3133022022 is about 1463.2588153388.

Adding to 3133022022 its reverse (2202203313), we get a palindrome (5335225335).

The spelling of 3133022022 in words is "three billion, one hundred thirty-three million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 163 234 326 489 978 1467 2119 2934 4238 6357 12714 19071 38142 82141 164282 246423 492846 739269 1067833 1478538 2135666 3203499 6406998 9610497 13388983 19220994 26777966 40166949 80333898 120500847 174056779 241001694 348113558 522170337 1044340674 1566511011 3133022022