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222240401312 = 25231393316563
BaseRepresentation
bin1100111011111010001…
…1110110011110100000
3210020122022112010120112
43032332203312132200
512120122020320222
6250032411030452
722025216146106
oct3167643663640
9706568463515
10222240401312
1186284a04956
12370a3a3b428
1317c59c02857
14aa83b5dc76
155baac3cbe2
hex33be8f67a0

222240401312 has 96 divisors (see below), whose sum is σ = 461303216640. Its totient is φ = 105189384960.

The previous prime is 222240401269. The next prime is 222240401359. The reversal of 222240401312 is 213104042222.

It is a super-2 number, since 2×2222404013122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33859343 + ... + 33865905.

It is an arithmetic number, because the mean of its divisors is an integer number (4805241840).

Almost surely, 2222240401312 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 222240401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230651608320).

222240401312 is an abundant number, since it is smaller than the sum of its proper divisors (239062815328).

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

222240401312 is a wasteful number, since it uses less digits than its factorization.

222240401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 222240401312 its reverse (213104042222), we get a palindrome (435344443534).

The spelling of 222240401312 in words is "two hundred twenty-two billion, two hundred forty million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 92 139 184 278 331 368 556 662 736 1112 1324 2224 2648 3197 4448 5296 6394 6563 7613 10592 12788 13126 15226 25576 26252 30452 46009 51152 52504 60904 92018 102304 105008 121808 150949 184036 210016 243616 301898 368072 603796 736144 912257 1058207 1207592 1472288 1824514 2116414 2172353 2415184 3649028 4232828 4344706 4830368 7298056 8465656 8689412 14596112 16931312 17378824 20981911 29192224 33862624 34757648 41963822 49964119 69515296 83927644 99928238 167855288 199856476 301957067 335710576 399712952 603914134 671421152 799425904 1207828268 1598851808 2415656536 4831313072 6945012541 9662626144 13890025082 27780050164 55560100328 111120200656 222240401312