Search a number
-
+
222286680 = 233857112
BaseRepresentation
bin11010011111111…
…01001101011000
3120111021100000000
431033331031120
5423401133210
634020213000
75336256060
oct1517751530
9514240000
10222286680
11104525300
126253a160
133708b4a5
14217443a0
15147acac0
hexd3fd358

222286680 has 432 divisors, whose sum is σ = 942374160. Its totient is φ = 46189440.

The previous prime is 222286663. The next prime is 222286721. The reversal of 222286680 is 86682222.

It is a super-2 number, since 2×2222866802 = 98822736210844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20207875 + ... + 20207885.

Almost surely, 2222286680 is an apocalyptic number.

222286680 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 222286680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471187080).

222286680 is an abundant number, since it is smaller than the sum of its proper divisors (720087480).

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

222286680 is an equidigital number, since it uses as much as digits as its factorization.

222286680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 222286680 is about 14909.2816728372. The cubic root of 222286680 is about 605.7654223936.

The spelling of 222286680 in words is "two hundred twenty-two million, two hundred eighty-six thousand, six hundred eighty".