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222496340 = 2251117411451
BaseRepresentation
bin11010100001100…
…00011001010100
3120111122222121012
431100300121110
5423424340330
634024511352
75341121243
oct1520603124
9514588535
10222496340
11104658880
126261b558
1337132a51
142179a95a
15147eec95
hexd430654

222496340 has 96 divisors (see below), whose sum is σ = 553246848. Its totient is φ = 74240000.

The previous prime is 222496303. The next prime is 222496343. The reversal of 222496340 is 43694222.

It is a junction number, because it is equal to n+sod(n) for n = 222496297 and 222496306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222496343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152615 + ... + 154065.

It is an arithmetic number, because the mean of its divisors is an integer number (5762988).

Almost surely, 2222496340 is an apocalyptic number.

222496340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222496340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276623424).

222496340 is an abundant number, since it is smaller than the sum of its proper divisors (330750508).

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

222496340 is a wasteful number, since it uses less digits than its factorization.

222496340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 222496340 is about 14916.3112061930. The cubic root of 222496340 is about 605.9558144723.

The spelling of 222496340 in words is "two hundred twenty-two million, four hundred ninety-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 41 44 55 68 82 85 110 164 170 187 205 220 340 374 410 451 697 748 820 902 935 1394 1451 1804 1870 2255 2788 2902 3485 3740 4510 5804 6970 7255 7667 9020 13940 14510 15334 15961 24667 29020 30668 31922 38335 49334 59491 63844 76670 79805 98668 118982 123335 153340 159610 237964 246670 271337 297455 319220 493340 542674 594910 654401 1011347 1085348 1189820 1308802 1356685 2022694 2617604 2713370 3272005 4045388 5056735 5426740 6544010 10113470 11124817 13088020 20226940 22249634 44499268 55624085 111248170 222496340