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22224401320 = 2351157787539
BaseRepresentation
bin10100101100101011…
…010111001110101000
32010100212010120012211
4110230223113032220
5331003421320240
614113150014504
71414512202642
oct245453271650
963325116184
1022224401320
119475105720
124382aa7434
1321324a0b34
14110b8b5892
158a11a7bea
hex52cad73a8

22224401320 has 64 divisors (see below), whose sum is σ = 54645969600. Its totient is φ = 8067502080.

The previous prime is 22224401279. The next prime is 22224401387. The reversal of 22224401320 is 2310442222.

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 = 22224401291 and 22224401300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210111 + ... + 297649.

It is an arithmetic number, because the mean of its divisors is an integer number (853843275).

Almost surely, 222224401320 is an apocalyptic number.

22224401320 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 22224401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27322984800).

22224401320 is an abundant number, since it is smaller than the sum of its proper divisors (32421568280).

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

22224401320 is a wasteful number, since it uses less digits than its factorization.

22224401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88138 (or 88134 counting only the distinct ones).

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

Adding to 22224401320 its reverse (2310442222), we get a palindrome (24534843542).

The spelling of 22224401320 in words is "twenty-two billion, two hundred twenty-four million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 577 1154 2308 2885 4616 5770 6347 11540 12694 23080 25388 31735 50776 63470 87539 126940 175078 253880 350156 437695 700312 875390 962929 1750780 1925858 3501560 3851716 4814645 7703432 9629290 19258580 38517160 50510003 101020006 202040012 252550015 404080024 505100030 555610033 1010200060 1111220066 2020400120 2222440132 2778050165 4444880264 5556100330 11112200660 22224401320