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222690312 = 23321353672
BaseRepresentation
bin11010100010111…
…11110000001000
3120112000211200100
431101133300020
5424002042222
634033005400
75342556615
oct1521376010
9515024610
10222690312
11104780589
12626b3860
13371a0120
142180b50c
151483c4ac
hexd45fc08

222690312 has 144 divisors (see below), whose sum is σ = 671792940. Its totient is φ = 66223872.

The previous prime is 222690289. The next prime is 222690319. The reversal of 222690312 is 213096222.

It can be written as a sum of positive squares in 2 ways, for example, as 221235876 + 1454436 = 14874^2 + 1206^2 .

It is not an unprimeable number, because it can be changed into a prime (222690319) 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 35 ways as a sum of consecutive naturals, for example, 3323703 + ... + 3323769.

Almost surely, 2222690312 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 222690312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335896470).

222690312 is an abundant number, since it is smaller than the sum of its proper divisors (449102628).

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

222690312 is a wasteful number, since it uses less digits than its factorization.

222690312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 222690312 is about 14922.8117993896. The cubic root of 222690312 is about 606.1318538043.

The spelling of 222690312 in words is "two hundred twenty-two million, six hundred ninety thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 67 72 78 104 106 117 134 156 159 201 212 234 268 312 318 402 424 468 477 536 603 636 689 804 871 936 954 1206 1272 1378 1608 1742 1908 2067 2412 2613 2756 3484 3551 3816 4134 4489 4824 5226 5512 6201 6968 7102 7839 8268 8978 10452 10653 12402 13467 14204 15678 16536 17956 20904 21306 24804 26934 28408 31356 31959 35912 40401 42612 46163 49608 53868 58357 62712 63918 80802 85224 92326 107736 116714 127836 138489 161604 175071 184652 233428 237917 255672 276978 323208 350142 369304 415467 466856 475834 525213 553956 700284 713751 830934 951668 1050426 1107912 1400568 1427502 1661868 1903336 2100852 2141253 2855004 3092921 3323736 4201704 4282506 5710008 6185842 8565012 9278763 12371684 17130024 18557526 24743368 27836289 37115052 55672578 74230104 111345156 222690312