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22006530 = 23257132687
BaseRepresentation
bin101001111110…
…0101100000010
31112102001021200
41103330230002
521113202110
62103402030
7355023660
oct123745402
945361250
1022006530
1111470917
127453316
134736820
142ccbc30
151dea6c0
hex14fcb02

22006530 has 96 divisors (see below), whose sum is σ = 70447104. Its totient is φ = 4641408.

The previous prime is 22006529. The next prime is 22006531. The reversal of 22006530 is 3560022.

22006530 = 8732 + 8742 + ... + 9002.

It is an interprime number because it is at equal distance from previous prime (22006529) and next prime (22006531).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22006531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6847 + ... + 9533.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 222006530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22006530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35223552).

22006530 is an abundant number, since it is smaller than the sum of its proper divisors (48440574).

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

22006530 is a wasteful number, since it uses less digits than its factorization.

22006530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 22006530 is about 4691.1118085162. Note that the first 3 decimals coincide. The cubic root of 22006530 is about 280.2316535304.

Adding to 22006530 its reverse (3560022), we get a palindrome (25566552).

The spelling of 22006530 in words is "twenty-two million, six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2687 2730 4095 5374 8061 8190 13435 16122 18809 24183 26870 34931 37618 40305 48366 56427 69862 80610 94045 104793 112854 120915 169281 174655 188090 209586 241830 244517 282135 314379 338562 349310 489034 523965 564270 628758 733551 846405 1047930 1222585 1467102 1571895 1692810 2200653 2445170 3143790 3667755 4401306 7335510 11003265 22006530