Search a number
-
+
2829680022 = 2313172133997
BaseRepresentation
bin1010100010101001…
…0111110110010110
321022012112122020210
42220222113312112
521243344230042
61144441510250
7130056611661
oct25052276626
97265478223
102829680022
11122230a534
1266b7a2386
1336131c6a0
141cbb4c6d8
1511864da9c
hexa8a97d96

2829680022 has 32 divisors (see below), whose sum is σ = 6453209952. Its totient is φ = 819454464.

The previous prime is 2829680011. The next prime is 2829680033. The reversal of 2829680022 is 2200869282.

It is an interprime number because it is at equal distance from previous prime (2829680011) and next prime (2829680033).

It is a super-3 number, since 3×28296800223 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1065673 + ... + 1068324.

It is an arithmetic number, because the mean of its divisors is an integer number (201662811).

Almost surely, 22829680022 is an apocalyptic number.

2829680022 is an abundant number, since it is smaller than the sum of its proper divisors (3623529930).

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

2829680022 is a wasteful number, since it uses less digits than its factorization.

2829680022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134032.

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 2829680022 is about 53194.7367885207. The cubic root of 2829680022 is about 1414.4223477568.

The spelling of 2829680022 in words is "two billion, eight hundred twenty-nine million, six hundred eighty thousand, twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 2133997 4267994 6401991 12803982 27741961 36277949 55483922 72555898 83225883 108833847 166451766 217667694 471613337 943226674 1414840011 2829680022