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12221190228 = 22313471819209
BaseRepresentation
bin10110110000111000…
…01001000001010100
31011112201022210022010
423120130021001110
5200012111041403
65340410304220
7611565255132
oct133034110124
934481283263
1012221190228
1152015a8115
122450a28070
1311c9c2ac10
1483d158752
154b7db3603
hex2d8709054

12221190228 has 96 divisors (see below), whose sum is σ = 31539755520. Its totient is φ = 3659627520.

The previous prime is 12221190227. The next prime is 12221190229. The reversal of 12221190228 is 82209112221.

It is an interprime number because it is at equal distance from previous prime (12221190227) and next prime (12221190229).

It is a junction number, because it is equal to n+sod(n) for n = 12221190195 and 12221190204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221190227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1322488 + ... + 1331696.

It is an arithmetic number, because the mean of its divisors is an integer number (328539120).

Almost surely, 212221190228 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 12221190228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15769877760).

12221190228 is an abundant number, since it is smaller than the sum of its proper divisors (19318565292).

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

12221190228 is a wasteful number, since it uses less digits than its factorization.

12221190228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9457 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 12221190228 in words is "twelve billion, two hundred twenty-one million, one hundred ninety thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 181 188 282 362 543 564 611 724 1086 1222 1833 2172 2353 2444 3666 4706 7059 7332 8507 9209 9412 14118 17014 18418 25521 27627 28236 34028 36836 51042 55254 102084 110508 110591 119717 221182 239434 331773 359151 432823 442364 478868 663546 718302 865646 1298469 1327092 1436604 1666829 1731292 2596938 3333658 5000487 5193876 5626699 6667316 10000974 11253398 16880097 20001948 21668777 22506796 33760194 43337554 65006331 67520388 78340963 86675108 130012662 156681926 235022889 260025324 313363852 470045778 940091556 1018432519 2036865038 3055297557 4073730076 6110595114 12221190228