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220031340032 = 297108756479
BaseRepresentation
bin1100110011101011100…
…0111100111000000000
3210000221100210012012002
43030322320330320000
512101111010340112
6245025255123132
721616403350160
oct3147270747000
9700840705162
10220031340032
1185350a56479
12367880734a8
131799734a9ba
14a9146045a0
155acbd311c2
hex333ae3ce00

220031340032 has 80 divisors (see below), whose sum is σ = 502908764160. Its totient is φ = 94210725888.

The previous prime is 220031339989. The next prime is 220031340037. The reversal of 220031340032 is 230043130022.

It is a super-2 number, since 2×2200313400322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220031339986 and 220031340013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220031340037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3867569 + ... + 3924047.

It is an arithmetic number, because the mean of its divisors is an integer number (6286359552).

Almost surely, 2220031340032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220031340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251454382080).

220031340032 is an abundant number, since it is smaller than the sum of its proper divisors (282877424128).

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

220031340032 is an equidigital number, since it uses as much as digits as its factorization.

220031340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57591 (or 57575 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 220031340032 its reverse (230043130022), we get a palindrome (450074470054).

The spelling of 220031340032 in words is "two hundred twenty billion, thirty-one million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1087 1792 2174 3584 4348 7609 8696 15218 17392 30436 34784 56479 60872 69568 112958 121744 139136 225916 243488 278272 395353 451832 486976 556544 790706 903664 973952 1581412 1807328 1947904 3162824 3614656 3895808 6325648 7229312 12651296 14458624 25302592 28917248 50605184 61392673 101210368 122785346 202420736 245570692 429748711 491141384 859497422 982282768 1718994844 1964565536 3437989688 3929131072 6875979376 7858262144 13751958752 15716524288 27503917504 31433048576 55007835008 110015670016 220031340032