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87226218 = 23217614673
BaseRepresentation
bin1010011001011…
…11011101101010
320002010112212200
411030233131222
5134312214333
612353321030
72106260562
oct514573552
9202115780
1087226218
1145267392
1225266176
13150c0561
14b827da2
1579cec13
hex532f76a

87226218 has 48 divisors (see below), whose sum is σ = 203431176. Its totient is φ = 26910720.

The previous prime is 87226213. The next prime is 87226259. The reversal of 87226218 is 81262278.

It is a happy number.

87226218 is a `hidden beast` number, since 8 + 7 + 22 + 621 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81595089 + 5631129 = 9033^2 + 2373^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (87226213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16330 + ... + 21002.

Almost surely, 287226218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87226218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101715588).

87226218 is an abundant number, since it is smaller than the sum of its proper divisors (116204958).

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

87226218 is a wasteful number, since it uses less digits than its factorization.

87226218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759 (or 4756 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 87226218 is about 9339.4977381013. The cubic root of 87226218 is about 443.4884844617.

The spelling of 87226218 in words is "eighty-seven million, two hundred twenty-six thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 3111 4673 6222 9333 9346 14019 18666 28038 42057 79441 84114 158882 238323 285053 476646 570106 714969 855159 1429938 1710318 2565477 4845901 5130954 9691802 14537703 29075406 43613109 87226218