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2122303056 = 2432910714249
BaseRepresentation
bin111111001111111…
…1100011001010000
312110220111011110220
41332133330121100
513321302144211
6550332153040
7103410164316
oct17637743120
95426434426
102122303056
11999a91775
124b2908780
1327a8c9633
14161c140b6
15c64c0806
hex7e7fc650

2122303056 has 80 divisors (see below), whose sum is σ = 5725080000. Its totient is φ = 676609024.

The previous prime is 2122303019. The next prime is 2122303063. The reversal of 2122303056 is 6503032212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 141820 + ... + 156068.

It is an arithmetic number, because the mean of its divisors is an integer number (71563500).

Almost surely, 22122303056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122303056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862540000).

2122303056 is an abundant number, since it is smaller than the sum of its proper divisors (3602776944).

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

2122303056 is a wasteful number, since it uses less digits than its factorization.

2122303056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14396 (or 14390 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2122303056 is about 46068.4605342961. The cubic root of 2122303056 is about 1285.0966746850.

Adding to 2122303056 its reverse (6503032212), we get a palindrome (8625335268).

The spelling of 2122303056 in words is "two billion, one hundred twenty-two million, three hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 107 116 174 214 232 321 348 428 464 642 696 856 1284 1392 1712 2568 3103 5136 6206 9309 12412 14249 18618 24824 28498 37236 42747 49648 56996 74472 85494 113992 148944 170988 227984 341976 413221 683952 826442 1239663 1524643 1652884 2479326 3049286 3305768 4573929 4958652 6098572 6611536 9147858 9917304 12197144 18295716 19834608 24394288 36591432 44214647 73182864 88429294 132643941 176858588 265287882 353717176 530575764 707434352 1061151528 2122303056