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2220011465412 = 2231337461834311
BaseRepresentation
bin100000010011100010111…
…111101010101011000100
321212020020102020022022010
4200103202333222223010
5242333040413343122
64415505330134220
7316250645050566
oct40234277525304
97766212208263
102220011465412
11786557662154
122ba305421370
13131466743a30
147964059d336
153cb331d4e0c
hex204e2feaac4

2220011465412 has 96 divisors (see below), whose sum is σ = 5741695137024. Its totient is φ = 663176332800.

The previous prime is 2220011465389. The next prime is 2220011465417. The reversal of 2220011465412 is 2145641100222.

It is a self number, because there is not a number n which added to its sum of digits gives 2220011465412.

It is not an unprimeable number, because it can be changed into a prime (2220011465417) 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, 2243737 + ... + 3078047.

It is an arithmetic number, because the mean of its divisors is an integer number (59809324344).

Almost surely, 22220011465412 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 2220011465412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870847568512).

2220011465412 is an abundant number, since it is smaller than the sum of its proper divisors (3521683671612).

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

2220011465412 is a wasteful number, since it uses less digits than its factorization.

2220011465412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834829 (or 834827 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 2220011465412 its reverse (2145641100222), we get a palindrome (4365652565634).

The spelling of 2220011465412 in words is "two trillion, two hundred twenty billion, eleven million, four hundred sixty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 461 481 922 962 1383 1443 1844 1924 2766 2886 5532 5772 5993 11986 17057 17979 23972 34114 35958 51171 68228 71916 102342 204684 221741 443482 665223 834311 886964 1330446 1668622 2502933 2660892 3337244 5005866 10011732 10846043 21692086 30869507 32538129 43384172 61739014 65076258 92608521 123478028 130152516 185217042 370434084 384617371 401303591 769234742 802607182 1153852113 1203910773 1538469484 1605214364 2307704226 2407821546 4615408452 4815643092 5000025823 10000051646 14230842727 15000077469 20000103292 28461685454 30000154938 42692528181 56923370908 60000309876 85385056362 170770112724 185000955451 370001910902 555002866353 740003821804 1110005732706 2220011465412