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81264222 = 2341347821
BaseRepresentation
bin1001101011111…
…11111001011110
312122220122120000
410311333321132
5131300423342
612021435130
72004506634
oct465777136
9178818500
1081264222
1141965016
122326baa6
1313ab3950
14ab15354
15720344c
hex4d7fe5e

81264222 has 80 divisors (see below), whose sum is σ = 200515392. Its totient is φ = 24442560.

The previous prime is 81264217. The next prime is 81264223. The reversal of 81264222 is 22246218.

It is a happy number.

81264222 is a `hidden beast` number, since 8 + 12 + 642 + 2 + 2 = 666.

It is a super-4 number, since 4×812642224 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81264223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98572 + ... + 99392.

Almost surely, 281264222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81264222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100257696).

81264222 is an abundant number, since it is smaller than the sum of its proper divisors (119251170).

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

81264222 is a wasteful number, since it uses less digits than its factorization.

81264222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 81264222 is about 9014.6670487600. The cubic root of 81264222 is about 433.1448222783.

The spelling of 81264222 in words is "eighty-one million, two hundred sixty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 81 94 117 141 162 234 282 351 423 611 702 821 846 1053 1222 1269 1642 1833 2106 2463 2538 3666 3807 4926 5499 7389 7614 10673 10998 14778 16497 21346 22167 32019 32994 38587 44334 49491 64038 66501 77174 96057 98982 115761 133002 192114 231522 288171 347283 501631 576342 694566 864513 1003262 1041849 1504893 1729026 2083698 3009786 3125547 4514679 6251094 9029358 13544037 27088074 40632111 81264222