Search a number
-
+
4430220023020 = 2251123643502517
BaseRepresentation
bin100000001110111110110…
…1100001101010011101100
3120200112011122120022010211
41000131331230031103230
51040041042311214040
613231114234112204
7635033660603401
oct100357554152354
916615148508124
104430220023020
111458933786600
125b673387b664
132619ca276bac
141145d0c622a8
157a39098e8ea
hex4077db0d4ec

4430220023020 has 72 divisors (see below), whose sum is σ = 10228946856912. Its totient is φ = 1610543679360.

The previous prime is 4430220022979. The next prime is 4430220023027. The reversal of 4430220023020 is 203200220344.

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 = 4430220022982 and 4430220023000.

It is not an unprimeable number, because it can be changed into a prime (4430220023027) 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, 8564802 + ... + 9067318.

It is an arithmetic number, because the mean of its divisors is an integer number (142068706346).

Almost surely, 24430220023020 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 4430220023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5114473428456).

4430220023020 is an abundant number, since it is smaller than the sum of its proper divisors (5798726833892).

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

4430220023020 is a wasteful number, since it uses less digits than its factorization.

4430220023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506191 (or 506178 counting only the distinct ones).

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

Adding to 4430220023020 its reverse (203200220344), we get a palindrome (4633420243364).

The spelling of 4430220023020 in words is "four trillion, four hundred thirty billion, two hundred twenty million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 3643 7286 14572 18215 36430 40073 72860 80146 160292 200365 400730 440803 502517 801460 881606 1005034 1763212 2010068 2204015 2512585 4408030 5025170 5527687 8816060 10050340 11055374 22110748 27638435 55276870 60804557 110553740 121609114 243218228 304022785 608045570 1216091140 1830669431 3661338862 7322677724 9153347155 18306694310 20137363741 36613388620 40274727482 80549454964 100686818705 201373637410 221511001151 402747274820 443022002302 886044004604 1107555005755 2215110011510 4430220023020