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2231250540 = 22351131911723
BaseRepresentation
bin1000010011111110…
…0010111001101100
312202111111021022220
42010333202321230
514032200004130
61005223235340
7106202213421
oct20477427154
95674437286
102231250540
11a45534612
125232a8b50
132973538bc
14172493d48
15d0d41410
hex84fe2e6c

2231250540 has 96 divisors (see below), whose sum is σ = 6339465216. Its totient is φ = 586306560.

The previous prime is 2231250533. The next prime is 2231250577. The reversal of 2231250540 is 450521322.

It is a super-3 number, since 3×22312505403 (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 2231250540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294119 + ... + 1295841.

It is an arithmetic number, because the mean of its divisors is an integer number (66036096).

Almost surely, 22231250540 is an apocalyptic number.

2231250540 is a gapful number since it is divisible by the number (20) 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 2231250540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169732608).

2231250540 is an abundant number, since it is smaller than the sum of its proper divisors (4108214676).

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

2231250540 is a wasteful number, since it uses less digits than its factorization.

2231250540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2231250540 is about 47236.1147851938. The cubic root of 2231250540 is about 1306.7207259612.

Adding to 2231250540 its reverse (450521322), we get a palindrome (2681771862).

The spelling of 2231250540 in words is "two billion, two hundred thirty-one million, two hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 191 226 339 382 452 565 573 678 764 955 1130 1146 1356 1695 1723 1910 2260 2292 2865 3390 3446 3820 5169 5730 6780 6892 8615 10338 11460 17230 20676 21583 25845 34460 43166 51690 64749 86332 103380 107915 129498 194699 215830 258996 323745 329093 389398 431660 584097 647490 658186 778796 973495 987279 1168194 1294980 1316372 1645465 1946990 1974558 2336388 2920485 3290930 3893980 3949116 4936395 5840970 6581860 9872790 11681940 19745580 37187509 74375018 111562527 148750036 185937545 223125054 371875090 446250108 557812635 743750180 1115625270 2231250540