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220331023100 = 225223290332999
BaseRepresentation
bin1100110100110011000…
…0001001101011111100
3210001201020200200001222
43031030300021223330
512102214220214400
6245115122252512
721630002536556
oct3151460115374
9701636620058
10220331023100
1185495133831
12368504b7138
1317a14467466
14a9423344d6
155ae82cb185
hex334cc09afc

220331023100 has 72 divisors (see below), whose sum is σ = 499093056000. Its totient is φ = 84268972480.

The previous prime is 220331023079. The next prime is 220331023109. The reversal of 220331023100 is 1320133022.

220331023100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2203310231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220331023109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6660401 + ... + 6693399.

It is an arithmetic number, because the mean of its divisors is an integer number (6931848000).

Almost surely, 2220331023100 is an apocalyptic number.

220331023100 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 220331023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249546528000).

220331023100 is an abundant number, since it is smaller than the sum of its proper divisors (278762032900).

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

220331023100 is a wasteful number, since it uses less digits than its factorization.

220331023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35939 (or 35932 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 220331023100 its reverse (1320133022), we get a palindrome (221651156122).

The spelling of 220331023100 in words is "two hundred twenty billion, three hundred thirty-one million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 2903 5806 11612 14515 29030 32999 58060 65998 66769 72575 131996 133538 145150 164995 267076 290300 329990 333845 659980 667690 758977 824975 1335380 1517954 1649950 1669225 3035908 3299900 3338450 3794885 6676900 7589770 15179540 18974425 37948850 75897700 95796097 191592194 383184388 478980485 957960970 1915921940 2203310231 2394902425 4406620462 4789804850 8813240924 9579609700 11016551155 22033102310 44066204620 55082755775 110165511550 220331023100