Search a number
-
+
18221076 = 223217191567
BaseRepresentation
bin100010110000…
…0100000010100
31021021201121200
41011200200110
514131033301
61450312500
7310606446
oct105404024
937251550
1018221076
11a315845
126128730
133a0c803
1425c4496
1518edc86
hex1160814

18221076 has 72 divisors (see below), whose sum is σ = 51367680. Its totient is φ = 5412096.

The previous prime is 18221041. The next prime is 18221081. The reversal of 18221076 is 67012281.

It is a super-2 number, since 2×182210762 = 664015221195552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10845 + ... + 12411.

It is an arithmetic number, because the mean of its divisors is an integer number (713440).

Almost surely, 218221076 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 18221076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25683840).

18221076 is an abundant number, since it is smaller than the sum of its proper divisors (33146604).

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

18221076 is a wasteful number, since it uses less digits than its factorization.

18221076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 18221076 is about 4268.6152321333. The cubic root of 18221076 is about 263.1427080948.

The spelling of 18221076 in words is "eighteen million, two hundred twenty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 306 323 342 612 646 684 969 1292 1567 1938 2907 3134 3876 4701 5814 6268 9402 11628 14103 18804 26639 28206 29773 53278 56412 59546 79917 89319 106556 119092 159834 178638 239751 267957 319668 357276 479502 506141 535914 959004 1012282 1071828 1518423 2024564 3036846 4555269 6073692 9110538 18221076