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222993472 = 2613253389
BaseRepresentation
bin11010100101010…
…01110001000000
3120112121020112111
431102221301000
5424041242342
634043305104
75345261512
oct1522516100
9515536474
10222993472
11104968329
126281b194
1337278100
1421889bb2
151489c217
hexd4a9c40

222993472 has 84 divisors (see below), whose sum is σ = 489455460. Its totient is φ = 100718592.

The previous prime is 222993461. The next prime is 222993473. The reversal of 222993472 is 274399222.

It can be written as a sum of positive squares in 6 ways, for example, as 36288576 + 186704896 = 6024^2 + 13664^2 .

It is a super-2 number, since 2×2229934722 = 99452177109229568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222993473) 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 11 ways as a sum of consecutive naturals, for example, 573054 + ... + 573442.

Almost surely, 2222993472 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 222993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244727730).

222993472 is an abundant number, since it is smaller than the sum of its proper divisors (266461988).

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

222993472 is a wasteful number, since it uses less digits than its factorization.

222993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 457 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 222993472 is about 14932.9659478618. The cubic root of 222993472 is about 606.4067821103.

The spelling of 222993472 in words is "two hundred twenty-two million, nine hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 169 208 212 338 389 416 424 676 689 778 832 848 1352 1378 1556 1696 2704 2756 3112 3392 5057 5408 5512 6224 8957 10114 10816 11024 12448 17914 20228 20617 22048 24896 35828 40456 41234 44096 65741 71656 80912 82468 131482 143312 161824 164936 262964 268021 286624 323648 329872 525928 536042 573248 659744 1051856 1072084 1319488 2103712 2144168 3484273 4207424 4288336 6968546 8576672 13937092 17153344 27874184 55748368 111496736 222993472