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22013130 = 2351722539
BaseRepresentation
bin101001111111…
…0010011001010
31112102101100010
41103332103022
521113410010
62103452350
7355052136
oct123762312
945371303
1022013130
1111475877
1274570b6
134739829
142cd03c6
151dec620
hex14fe4ca

22013130 has 48 divisors (see below), whose sum is σ = 56144160. Its totient is φ = 5522688.

The previous prime is 22013081. The next prime is 22013137. The reversal of 22013130 is 3131022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22013137) 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, 7401 + ... + 9939.

It is an arithmetic number, because the mean of its divisors is an integer number (1169670).

Almost surely, 222013130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22013130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28072080).

22013130 is an abundant number, since it is smaller than the sum of its proper divisors (34131030).

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

22013130 is a wasteful number, since it uses less digits than its factorization.

22013130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 22013130 is about 4691.8152137526. The cubic root of 22013130 is about 280.2596655802.

Adding to 22013130 its reverse (3131022), we get a palindrome (25144152).

The spelling of 22013130 in words is "twenty-two million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 289 510 578 867 1445 1734 2539 2890 4335 5078 7617 8670 12695 15234 25390 38085 43163 76170 86326 129489 215815 258978 431630 647445 733771 1294890 1467542 2201313 3668855 4402626 7337710 11006565 22013130