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12223292481 = 3213722692
BaseRepresentation
bin10110110001001000…
…01010010001000001
31011112212021121001100
423120210022101001
5200013130324411
65340523325013
7611622162141
oct133044122101
934485247040
1012223292481
115202803614
122451680769
1311ca4b5a5a
1483d544921
154b817b456
hex2d890a441

12223292481 has 27 divisors (see below), whose sum is σ = 17852046121. Its totient is φ = 8059308864.

The previous prime is 12223292461. The next prime is 12223292489. The reversal of 12223292481 is 18429232221.

It is a happy number.

The square root of 12223292481 is 110559.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2200079025 + 10023213456 = 46905^2 + 100116^2 .

It is not a de Polignac number, because 12223292481 - 231 = 10075808833 is a prime.

It is a super-2 number, since 2×122232924812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12223292489) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45439615 + ... + 45439883.

Almost surely, 212223292481 is an apocalyptic number.

12223292481 is the 110559-th square number.

12223292481 is the 55280-th centered octagonal number.

It is an amenable number.

12223292481 is a deficient number, since it is larger than the sum of its proper divisors (5628753640).

12223292481 is an frugal number, since it uses more digits than its factorization.

12223292481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 409 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Multiplying 12223292481 by its sum of digits (36), we get a square (440038529316 = 6633542).

It can be divided in two parts, 12223 and 292481, that added together give a square (304704 = 5522).

The spelling of 12223292481 in words is "twelve billion, two hundred twenty-three million, two hundred ninety-two thousand, four hundred eighty-one".

Divisors: 1 3 9 137 269 411 807 1233 2421 18769 36853 56307 72361 110559 168921 217083 331677 651249 5048861 9913457 15146583 29740371 45439749 89221113 1358143609 4074430827 12223292481