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222242343440 = 24513213694561
BaseRepresentation
bin1100111011111010101…
…1010000101000010000
3210020122110011210200012
43032332223100220100
512120123014442230
6250032520414052
722025241515225
oct3167653205020
9706573153605
10222242343440
1186286011017
12370a4617328
1317c5a432840
14aa8410794c
155baaec3395
hex33bead0a10

222242343440 has 40 divisors (see below), whose sum is σ = 556460639448. Its totient is φ = 82058711040.

The previous prime is 222242343419. The next prime is 222242343457. The reversal of 222242343440 is 44343242222.

It can be written as a sum of positive squares in 4 ways, for example, as 1030153216 + 221212190224 = 32096^2 + 470332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2222423434402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222242343397 and 222242343406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106846241 + ... + 106848320.

Almost surely, 2222242343440 is an apocalyptic number.

222242343440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222242343440 is an abundant number, since it is smaller than the sum of its proper divisors (334218296008).

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

222242343440 is a wasteful number, since it uses less digits than its factorization.

222242343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213694587 (or 213694581 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 222242343440 its reverse (44343242222), we get a palindrome (266585585662).

The spelling of 222242343440 in words is "two hundred twenty-two billion, two hundred forty-two million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 213694561 427389122 854778244 1068472805 1709556488 2136945610 2778029293 3419112976 4273891220 5556058586 8547782440 11112117172 13890146465 17095564880 22224234344 27780292930 44448468688 55560585860 111121171720 222242343440