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2231531120 = 245713306529
BaseRepresentation
bin1000010100000010…
…0111011001110000
312202112000112012202
42011000213121300
514032232443440
61005233242332
7106204462430
oct20500473160
95675015182
102231531120
11a457063a5
125234033a8
13297421520
141725282c0
15d0d99615
hex85027670

2231531120 has 80 divisors (see below), whose sum is σ = 6385632960. Its totient is φ = 706240512.

The previous prime is 2231531077. The next prime is 2231531123. The reversal of 2231531120 is 211351322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22315311203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2231531092 and 2231531101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231531123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145985 + ... + 160544.

It is an arithmetic number, because the mean of its divisors is an integer number (79820412).

Almost surely, 22231531120 is an apocalyptic number.

2231531120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231531120 is an abundant number, since it is smaller than the sum of its proper divisors (4154101840).

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

2231531120 is a wasteful number, since it uses less digits than its factorization.

2231531120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306562 (or 306556 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2231531120 is about 47239.0846651372. The cubic root of 2231531120 is about 1306.7754970903.

Adding to 2231531120 its reverse (211351322), we get a palindrome (2442882442).

It can be divided in two parts, 22315 and 31120, that added together give a palindrome (53435).

The spelling of 2231531120 in words is "two billion, two hundred thirty-one million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 306529 613058 1226116 1532645 2145703 2452232 3065290 3984877 4291406 4904464 6130580 7969754 8582812 10728515 12261160 15939508 17165624 19924385 21457030 24522320 27894139 31879016 34331248 39848770 42914060 55788278 63758032 79697540 85828120 111576556 139470695 159395080 171656240 223153112 278941390 318790160 446306224 557882780 1115765560 2231531120