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2232140020 = 2251119751503
BaseRepresentation
bin1000010100001011…
…1100000011110100
312202120011110110121
42011002330003310
514032411440040
61005254301324
7106212606565
oct20502740364
95676143417
102232140020
11a45a91920
12523657844
132975a5716
1417264616c
15d0e69c4a
hex850bc0f4

2232140020 has 48 divisors (see below), whose sum is σ = 5139687168. Its totient is φ = 807551360.

The previous prime is 2232140003. The next prime is 2232140059. The reversal of 2232140020 is 200412322.

It is a super-3 number, since 3×22321400203 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232139976 and 2232140003.

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 15 ways as a sum of consecutive naturals, for example, 17589 + ... + 69091.

It is an arithmetic number, because the mean of its divisors is an integer number (107076816).

Almost surely, 22232140020 is an apocalyptic number.

2232140020 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 2232140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569843584).

2232140020 is an abundant number, since it is smaller than the sum of its proper divisors (2907547148).

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

2232140020 is a wasteful number, since it uses less digits than its factorization.

2232140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51720 (or 51718 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2232140020 is about 47245.5291006461. The cubic root of 2232140020 is about 1306.8943427313.

Adding to 2232140020 its reverse (200412322), we get a palindrome (2432552342).

The spelling of 2232140020 in words is "two billion, two hundred thirty-two million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 197 220 394 788 985 1970 2167 3940 4334 8668 10835 21670 43340 51503 103006 206012 257515 515030 566533 1030060 1133066 2266132 2832665 5665330 10146091 11330660 20292182 40584364 50730455 101460910 111607001 202921820 223214002 446428004 558035005 1116070010 2232140020