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222464112 = 24313438291
BaseRepresentation
bin11010100001010…
…00100001110000
3120111121100101120
431100220201300
5423422322422
634024102240
75340625263
oct1520504160
9514540346
10222464112
11104636642
1262604980
1337121190
142178ccda
15147e545c
hexd428870

222464112 has 80 divisors (see below), whose sum is σ = 633376128. Its totient is φ = 66850560.

The previous prime is 222464101. The next prime is 222464149. The reversal of 222464112 is 211464222.

It is a happy number.

It is a super-2 number, since 2×2224641122 = 98980562255897088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 22687 + ... + 30977.

Almost surely, 2222464112 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 222464112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316688064).

222464112 is an abundant number, since it is smaller than the sum of its proper divisors (410912016).

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

222464112 is a wasteful number, since it uses less digits than its factorization.

222464112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8358 (or 8352 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 222464112 is about 14915.2308731712. The cubic root of 222464112 is about 605.9265560331.

The spelling of 222464112 in words is "two hundred twenty-two million, four hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 2064 2236 3354 4472 6708 8291 8944 13416 16582 24873 26832 33164 49746 66328 99492 107783 132656 198984 215566 323349 356513 397968 431132 646698 713026 862264 1069539 1293396 1426052 1724528 2139078 2586792 2852104 4278156 4634669 5173584 5704208 8556312 9269338 13904007 17112624 18538676 27808014 37077352 55616028 74154704 111232056 222464112