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2232041420 = 2257431013671
BaseRepresentation
bin1000010100001010…
…0011111111001100
312202112222110012202
42011002203333030
514032400311140
61005252221032
7106212016250
oct20502437714
95675873182
102232041420
11a45a24834
1252360a778
1329756c88b
1417261c260
15d0e4a915
hex850a3fcc

2232041420 has 96 divisors (see below), whose sum is σ = 5537258496. Its totient is φ = 739872000.

The previous prime is 2232041419. The next prime is 2232041429. The reversal of 2232041420 is 241402322.

It is a super-3 number, since 3×22320414203 (a number of 29 digits) contains 333 as substring.

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 = 2232041392 and 2232041401.

It is not an unprimeable number, because it can be changed into a prime (2232041429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606185 + ... + 609855.

It is an arithmetic number, because the mean of its divisors is an integer number (57679776).

Almost surely, 22232041420 is an apocalyptic number.

2232041420 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 2232041420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768629248).

2232041420 is an abundant number, since it is smaller than the sum of its proper divisors (3305217076).

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

2232041420 is a wasteful number, since it uses less digits than its factorization.

2232041420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2232041420 is about 47244.4856041422. The cubic root of 2232041420 is about 1306.8750993627.

Adding to 2232041420 its reverse (241402322), we get a palindrome (2473443742).

The spelling of 2232041420 in words is "two billion, two hundred thirty-two million, forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 101 140 172 202 215 301 404 430 505 602 707 860 1010 1204 1414 1505 2020 2828 3010 3535 3671 4343 6020 7070 7342 8686 14140 14684 17372 18355 21715 25697 30401 36710 43430 51394 60802 73420 86860 102788 121604 128485 152005 157853 256970 304010 315706 370771 513940 608020 631412 741542 789265 1104971 1483084 1578530 1853855 2209942 2595397 3157060 3707710 4419884 5190794 5524855 7415420 10381588 11049710 12976985 15943153 22099420 25953970 31886306 51907940 63772612 79715765 111602071 159431530 223204142 318863060 446408284 558010355 1116020710 2232041420