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2220233130 = 2325593171319
BaseRepresentation
bin1000010001010110…
…0001000110101010
312201201202112021200
42010111201012222
514021334430010
61004151145030
7106006445613
oct20425410652
95651675250
102220233130
11a3a29a015
1251b675176
13294c96c1b
14170c26c0a
15cedb6cc0
hex845611aa

2220233130 has 96 divisors (see below), whose sum is σ = 5893430400. Its totient is φ = 579751296.

The previous prime is 2220233129. The next prime is 2220233131. The reversal of 2220233130 is 313320222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2220233129) and next prime (2220233131).

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

It is not an unprimeable number, because it can be changed into a prime (2220233131) 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, 1682611 + ... + 1683929.

It is an arithmetic number, because the mean of its divisors is an integer number (61389900).

Almost surely, 22220233130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220233130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946715200).

2220233130 is an abundant number, since it is smaller than the sum of its proper divisors (3673197270).

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

2220233130 is a wasteful number, since it uses less digits than its factorization.

2220233130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2220233130 is about 47119.3498469578. The cubic root of 2220233130 is about 1304.5664125246.

Adding to 2220233130 its reverse (313320222), we get a palindrome (2533553352).

The spelling of 2220233130 in words is "two billion, two hundred twenty million, two hundred thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 317 354 531 590 634 885 951 1062 1319 1585 1770 1902 2638 2655 2853 3170 3957 4755 5310 5706 6595 7914 9510 11871 13190 14265 18703 19785 23742 28530 37406 39570 56109 59355 77821 93515 112218 118710 155642 168327 187030 233463 280545 336654 389105 418123 466926 561090 700389 778210 836246 841635 1167315 1254369 1400778 1683270 2090615 2334630 2508738 3501945 3763107 4181230 6271845 7003890 7526214 12543690 18815535 24669257 37631070 49338514 74007771 123346285 148015542 222023313 246692570 370038855 444046626 740077710 1110116565 2220233130