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12220232202 = 23237112316339
BaseRepresentation
bin10110110000110000…
…11111001000001010
31011112122112010010200
423120120133020022
5200011334412302
65340333553030
7611554155063
oct133030371012
934478463120
1012220232202
115201003362
122450645776
1311c9983b39
1483cd8956a
154b7c7481c
hex2d861f20a

12220232202 has 48 divisors (see below), whose sum is σ = 27218649120. Its totient is φ = 3959546976.

The previous prime is 12220232191. The next prime is 12220232203. The reversal of 12220232202 is 20223202221.

12220232202 is a `hidden beast` number, since 12 + 220 + 232 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12220232203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 739749 + ... + 756087.

It is an arithmetic number, because the mean of its divisors is an integer number (567055190).

Almost surely, 212220232202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220232202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13609324560).

12220232202 is an abundant number, since it is smaller than the sum of its proper divisors (14998416918).

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

12220232202 is a wasteful number, since it uses less digits than its factorization.

12220232202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17507 (or 17504 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12220232202 its reverse (20223202221), we get a palindrome (32443434423).

The spelling of 12220232202 in words is "twelve billion, two hundred twenty million, two hundred thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1123 2246 3369 6738 10107 16339 20214 32678 41551 49017 83102 98034 124653 147051 249306 294102 373959 604543 747918 1209086 1813629 3627258 5440887 10881774 18348697 36697394 55046091 110092182 165138273 330276546 678901789 1357803578 2036705367 4073410734 6110116101 12220232202