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4430122020 = 22325128319183
BaseRepresentation
bin1000010000000111…
…00100110000100100
3102102202001111221100
410020003210300210
533033102401040
62011332520100
7214532262432
oct41003446044
912382044840
104430122020
111973763275
12a37780030
13557a7b69c
14300519d52
151addd8b30
hex1080e4c24

4430122020 has 72 divisors (see below), whose sum is σ = 13449211776. Its totient is φ = 1180383552.

The previous prime is 4430122007. The next prime is 4430122027. The reversal of 4430122020 is 202210344.

4430122020 is a `hidden beast` number, since 443 + 0 + 1 + 220 + 2 + 0 = 666.

It is a super-2 number, since 2×44301220202 = 39251962224177760800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4430121984 and 4430122002.

It is not an unprimeable number, because it can be changed into a prime (4430122027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221349 + ... + 240531.

It is an arithmetic number, because the mean of its divisors is an integer number (186794608).

Almost surely, 24430122020 is an apocalyptic number.

It is an amenable number.

4430122020 is an abundant number, since it is smaller than the sum of its proper divisors (9019089756).

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

4430122020 is a wasteful number, since it uses less digits than its factorization.

4430122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20481 (or 20476 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4430122020 is about 66559.1618036165. The cubic root of 4430122020 is about 1642.3733755585.

Adding to 4430122020 its reverse (202210344), we get a palindrome (4632332364).

The spelling of 4430122020 in words is "four billion, four hundred thirty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1283 2566 3849 5132 6415 7698 11547 12830 15396 19183 19245 23094 25660 38366 38490 46188 57549 57735 76732 76980 95915 115098 115470 172647 191830 230196 230940 287745 345294 383660 575490 690588 863235 1150980 1726470 3452940 24611789 49223578 73835367 98447156 123058945 147670734 221506101 246117890 295341468 369176835 443012202 492235780 738353670 886024404 1107530505 1476707340 2215061010 4430122020