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2231515120 = 24582333893
BaseRepresentation
bin1000010100000010…
…0011011111110000
312202111222201021011
42011000203133300
514032231440440
61005233040304
7106204364662
oct20500433760
95674881234
102231515120
11a456a537a
125233b6094
13297417163
14172522532
15d0d949ea
hex850237f0

2231515120 has 40 divisors (see below), whose sum is σ = 5194730016. Its totient is φ = 891495168.

The previous prime is 2231515087. The next prime is 2231515193. The reversal of 2231515120 is 215151322.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×22315151203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2231515091 and 2231515100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48894 + ... + 82786.

Almost surely, 22231515120 is an apocalyptic number.

2231515120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231515120 is an abundant number, since it is smaller than the sum of its proper divisors (2963214896).

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

2231515120 is a wasteful number, since it uses less digits than its factorization.

2231515120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34729 (or 34723 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 2231515120 is about 47238.9153135421. The cubic root of 2231515120 is about 1306.7723739046.

Adding to 2231515120 its reverse (215151322), we get a palindrome (2446666442).

The spelling of 2231515120 in words is "two billion, two hundred thirty-one million, five hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 823 1646 3292 4115 6584 8230 13168 16460 32920 33893 65840 67786 135572 169465 271144 338930 542288 677860 1355720 2711440 27893939 55787878 111575756 139469695 223151512 278939390 446303024 557878780 1115757560 2231515120