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2232033020 = 2257171317159
BaseRepresentation
bin1000010100001010…
…0001111011111100
312202112222000200122
42011002201323330
514032400024040
61005252114112
7106211652620
oct20502417374
95675860618
102232033020
11a45a19498
12523605938
13297568ac9
14172619180
15d0e481b5
hex850a1efc

2232033020 has 96 divisors (see below), whose sum is σ = 5716085760. Its totient is φ = 714654720.

The previous prime is 2232033019. The next prime is 2232033031. The reversal of 2232033020 is 203302322.

It is a super-3 number, since 3×22320330203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 2232033020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308201 + ... + 315359.

It is an arithmetic number, because the mean of its divisors is an integer number (59542560).

Almost surely, 22232033020 is an apocalyptic number.

2232033020 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 2232033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858042880).

2232033020 is an abundant number, since it is smaller than the sum of its proper divisors (3484052740).

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

2232033020 is a wasteful number, since it uses less digits than its factorization.

2232033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7323 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2232033020 is about 47244.3967047945. The cubic root of 2232033020 is about 1306.8734599420.

Adding to 2232033020 its reverse (203302322), we get a palindrome (2435335342).

The spelling of 2232033020 in words is "two billion, two hundred thirty-two million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 131 140 170 238 262 340 476 524 595 655 917 1190 1310 1834 2227 2380 2620 3668 4454 4585 7159 8908 9170 11135 14318 15589 18340 22270 28636 31178 35795 44540 50113 62356 71590 77945 100226 121703 143180 155890 200452 243406 250565 311780 486812 501130 608515 851921 937829 1002260 1217030 1703842 1875658 2434060 3407684 3751316 4259605 4689145 6564803 8519210 9378290 13129606 15943093 17038420 18756580 26259212 31886186 32824015 63772372 65648030 79715465 111601651 131296060 159430930 223203302 318861860 446406604 558008255 1116016510 2232033020