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2200004413424 = 243114593040091
BaseRepresentation
bin100000000000111010011…
…110110100011111110000
321210022121002102202112122
4200000322132310133300
5242021102112212144
64402400145413412
7314642105653136
oct40007236643760
97708532382478
102200004413424
11779020156944
122b646103a268
1312c5c876a32c
14786a339d756
153c361a247ee
hex2003a7b47f0

2200004413424 has 40 divisors (see below), whose sum is σ = 4403026045440. Its totient is φ = 1063788292800.

The previous prime is 2200004413361. The next prime is 2200004413429. The reversal of 2200004413424 is 4243144000022.

It is a happy number.

It is a super-2 number, since 2×22000044134242 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2200004413393 and 2200004413402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200004413429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 796382 + ... + 2243709.

It is an arithmetic number, because the mean of its divisors is an integer number (110075651136).

Almost surely, 22200004413424 is an apocalyptic number.

It is an amenable number.

2200004413424 is an abundant number, since it is smaller than the sum of its proper divisors (2203021632016).

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

2200004413424 is a wasteful number, since it uses less digits than its factorization.

2200004413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041589 (or 3041583 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 2200004413424 its reverse (4243144000022), we get a palindrome (6443148413446).

The spelling of 2200004413424 in words is "two trillion, two hundred billion, four million, four hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 1459 2918 5836 11672 23344 45229 90458 180916 361832 723664 3040091 6080182 12160364 24320728 48641456 94242821 188485642 376971284 753942568 1507885136 4435492769 8870985538 17741971076 35483942152 70967884304 137500275839 275000551678 550001103356 1100002206712 2200004413424