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2231628120 = 2332519332119
BaseRepresentation
bin1000010100000011…
…1111000101011000
312202112012110021100
42011000333011120
514032244044440
61005235311400
7106205345301
oct20500770530
95675173240
102231628120
11a45772267
1252344b560
13297456717
141725517a8
15d0db8230
hex8503f158

2231628120 has 96 divisors (see below), whose sum is σ = 7290597600. Its totient is φ = 591998976.

The previous prime is 2231628079. The next prime is 2231628127. The reversal of 2231628120 is 218261322.

2231628120 is a `hidden beast` number, since 2 + 2 + 31 + 628 + 1 + 2 + 0 = 666.

It is a super-3 number, since 3×22316281203 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231628127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53421 + ... + 85539.

It is an arithmetic number, because the mean of its divisors is an integer number (75943725).

Almost surely, 22231628120 is an apocalyptic number.

2231628120 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 2231628120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3645298800).

2231628120 is an abundant number, since it is smaller than the sum of its proper divisors (5058969480).

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

2231628120 is a wasteful number, since it uses less digits than its factorization.

2231628120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32329 (or 32322 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2231628120 is about 47240.1113461855. Note that the first 3 decimals coincide. The cubic root of 2231628120 is about 1306.7944310837.

Adding to 2231628120 its reverse (218261322), we get a palindrome (2449889442).

The spelling of 2231628120 in words is "two billion, two hundred thirty-one million, six hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 193 360 386 579 772 965 1158 1544 1737 1930 2316 2895 3474 3860 4632 5790 6948 7720 8685 11580 13896 17370 23160 32119 34740 64238 69480 96357 128476 160595 192714 256952 289071 321190 385428 481785 578142 642380 770856 963570 1156284 1284760 1445355 1927140 2312568 2890710 3854280 5781420 6198967 11562840 12397934 18596901 24795868 30994835 37193802 49591736 55790703 61989670 74387604 92984505 111581406 123979340 148775208 185969010 223162812 247958680 278953515 371938020 446325624 557907030 743876040 1115814060 2231628120