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2122630132 = 227176836529
BaseRepresentation
bin111111010000100…
…1100001111110100
312110221002210010211
41332201030033310
513321343131012
6550343155204
7103413026020
oct17641141764
95427083124
102122630132
1199a195487
124b2a45b04
1327a9b247c
14161c9b380
15c65376a7
hex7e84c3f4

2122630132 has 48 divisors (see below), whose sum is σ = 4502252160. Its totient is φ = 854802432.

The previous prime is 2122630127. The next prime is 2122630193. The reversal of 2122630132 is 2310362212.

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, 321844 + ... + 328372.

It is an arithmetic number, because the mean of its divisors is an integer number (93796920).

Almost surely, 22122630132 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 2122630132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251126080).

2122630132 is an abundant number, since it is smaller than the sum of its proper divisors (2379622028).

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

2122630132 is a wasteful number, since it uses less digits than its factorization.

2122630132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2122630132 is about 46072.0102882433. The cubic root of 2122630132 is about 1285.1626882998.

Adding to 2122630132 its reverse (2310362212), we get a palindrome (4432992344).

The spelling of 2122630132 in words is "two billion, one hundred twenty-two million, six hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 683 1366 2732 4781 6529 9562 11611 13058 19124 23222 26116 45703 46444 81277 91406 110993 162554 182812 221986 325108 443972 776951 1553902 3107804 4459307 8918614 17837228 31215149 62430298 75808219 124860596 151616438 303232876 530657533 1061315066 2122630132