Search a number
-
+
222485382 = 232721931307
BaseRepresentation
bin11010100001011…
…01101110000110
3120111122102120100
431100231232012
5423424013012
634024344530
75341044300
oct1520555606
9514572510
10222485382
11104650619
1262615146
133712aa72
1421796970
15147eb8dc
hexd42db86

222485382 has 72 divisors (see below), whose sum is σ = 564090696. Its totient is φ = 63189504.

The previous prime is 222485377. The next prime is 222485411. The reversal of 222485382 is 283584222.

222485382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169573 + ... + 170879.

It is an arithmetic number, because the mean of its divisors is an integer number (7834593).

Almost surely, 2222485382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222485382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282045348).

222485382 is an abundant number, since it is smaller than the sum of its proper divisors (341605314).

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

222485382 is a wasteful number, since it uses less digits than its factorization.

222485382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1512 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 222485382 is about 14915.9438856547. The cubic root of 222485382 is about 605.9458664842.

The spelling of 222485382 in words is "two hundred twenty-two million, four hundred eighty-five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 193 294 386 441 579 882 1158 1307 1351 1737 2614 2702 3474 3921 4053 7842 8106 9149 9457 11763 12159 18298 18914 23526 24318 27447 28371 54894 56742 64043 82341 85113 128086 164682 170226 192129 252251 384258 504502 576387 756753 1152774 1513506 1765757 2270259 3531514 4540518 5297271 10594542 12360299 15891813 24720598 31783626 37080897 74161794 111242691 222485382