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10024443220 = 22511734431409
BaseRepresentation
bin10010101011000000…
…01101110101010100
3221212121202110220211
421111200031311110
5131012224140340
64334414335204
7503262234661
oct112540156524
927777673824
1010024443220
11428459a620
121b391ba504
13c39a9810c
146b14c6a68
153da0da5ea
hex25580dd54

10024443220 has 96 divisors (see below), whose sum is σ = 23348787840. Its totient is φ = 3584655360.

The previous prime is 10024443199. The next prime is 10024443229. The reversal of 10024443220 is 2234442001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10024443191 and 10024443200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024443229) 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, 7113876 + ... + 7115284.

It is an arithmetic number, because the mean of its divisors is an integer number (243216540).

Almost surely, 210024443220 is an apocalyptic number.

10024443220 is a gapful number since it is divisible by the number (10) 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 10024443220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11674393920).

10024443220 is an abundant number, since it is smaller than the sum of its proper divisors (13324344620).

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

10024443220 is a wasteful number, since it uses less digits than its factorization.

10024443220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10024443220 its reverse (2234442001), we get a palindrome (12258885221).

The spelling of 10024443220 in words is "ten billion, twenty-four million, four hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 443 730 803 886 1409 1460 1606 1772 2215 2818 3212 4015 4430 4873 5636 7045 8030 8860 9746 14090 15499 16060 19492 24365 28180 30998 32339 48730 61996 64678 77495 97460 102857 129356 154990 161695 205714 309980 323390 355729 411428 514285 624187 646780 711458 1028570 1131427 1248374 1422916 1778645 2057140 2262854 2496748 3120935 3557290 4525708 5657135 6241870 6866057 7114580 11314270 12483740 13732114 22628540 27464228 34330285 45565651 68660570 91131302 137321140 182262604 227828255 455656510 501222161 911313020 1002444322 2004888644 2506110805 5012221610 10024443220