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2231300424 = 2335315111617
BaseRepresentation
bin1000010011111110…
…1111000101001000
312202111120210202110
42010333233011020
514032203103144
61005224302320
7106202512023
oct20477570510
95674523673
102231300424
11a45569041
125233119a0
13297370512
141724a81ba
15d0d510b9
hex84fef148

2231300424 has 64 divisors (see below), whose sum is σ = 5721632640. Its totient is φ = 724838400.

The previous prime is 2231300417. The next prime is 2231300437. The reversal of 2231300424 is 4240031322.

2231300424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22313004243 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2231300424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186264 + ... + 197880.

It is an arithmetic number, because the mean of its divisors is an integer number (89400510).

Almost surely, 22231300424 is an apocalyptic number.

2231300424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231300424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860816320).

2231300424 is an abundant number, since it is smaller than the sum of its proper divisors (3490332216).

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

2231300424 is a wasteful number, since it uses less digits than its factorization.

2231300424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11830 (or 11826 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2231300424 is about 47236.6428104284. The cubic root of 2231300424 is about 1306.7304639937.

Adding to 2231300424 its reverse (4240031322), we get a palindrome (6471331746).

The spelling of 2231300424 in words is "two billion, two hundred thirty-one million, three hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 151 159 212 302 318 424 453 604 636 906 1208 1272 1812 3624 8003 11617 16006 23234 24009 32012 34851 46468 48018 64024 69702 92936 96036 139404 192072 278808 615701 1231402 1754167 1847103 2462804 3508334 3694206 4925608 5262501 7016668 7388412 10525002 14033336 14776824 21050004 42100008 92970851 185941702 278912553 371883404 557825106 743766808 1115650212 2231300424