Search a number
-
+
4430220320020 = 22511331307919759
BaseRepresentation
bin100000001110111110110…
…1101010101110100010100
3120200112011200010101112211
41000131331231111310110
51040041042400220040
613231114244323204
7635033663251315
oct100357555256424
916615150111484
104430220320020
111458933969760
125b67339a3504
132619ca34c131
141145d0cdc60c
157a3909ec8ea
hex4077db55d14

4430220320020 has 96 divisors (see below), whose sum is σ = 10183715942400. Its totient is φ = 1605519273600.

The previous prime is 4430220319961. The next prime is 4430220320039. The reversal of 4430220320020 is 200230220344.

It is a super-2 number, since 2×44302203200202 (a number of 26 digits) contains 22 as substring.

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 = 4430220319973 and 4430220320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224202901 + ... + 224222659.

It is an arithmetic number, because the mean of its divisors is an integer number (106080374400).

Almost surely, 24430220320020 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 4430220320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091857971200).

4430220320020 is an abundant number, since it is smaller than the sum of its proper divisors (5753495622380).

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

4430220320020 is a wasteful number, since it uses less digits than its factorization.

4430220320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23189 (or 23187 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 4430220320020 its reverse (200230220344), we get a palindrome (4630450540364).

The spelling of 4430220320020 in words is "four trillion, four hundred thirty billion, two hundred twenty million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1655 3079 3310 3641 6158 6620 7282 12316 14564 15395 18205 19759 30790 33869 36410 39518 61580 67738 72820 79036 98795 135476 169345 197590 217349 338690 395180 434698 677380 869396 1019149 1086745 2038298 2173490 4076596 4346980 5095745 6540229 10191490 11210639 13080458 20382980 22421278 26160916 32701145 44842556 56053195 60837961 65402290 71942519 112106390 121675922 130804580 143885038 224212780 243351844 287770076 304189805 359712595 608379610 669217571 719425190 1216759220 1338435142 1438850380 2676870284 3346087855 6692175710 13384351420 20137365091 40274730182 80549460364 100686825455 201373650910 221511016001 402747301820 443022032002 886044064004 1107555080005 2215110160010 4430220320020