Search a number
-
+
2002201200224 = 25378831915117
BaseRepresentation
bin11101001000101100011…
…111011100011001100000
321002102000211210102000022
4131020230133130121200
5230301002001401344
64131444252213012
7264440261253311
oct35105437343140
97072024712008
102002201200224
11702146420125
1228405916a168
13116a645c6104
146cc9ad60608
15371363850ee
hex1d22c7dc660

2002201200224 has 48 divisors (see below), whose sum is σ = 4052956562928. Its totient is φ = 972940211712.

The previous prime is 2002201200199. The next prime is 2002201200341. The reversal of 2002201200224 is 4220021022002.

It is a super-2 number, since 2×20022012002242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87914 + ... + 2003030.

It is an arithmetic number, because the mean of its divisors is an integer number (84436595061).

Almost surely, 22002201200224 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 2002201200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026478281464).

2002201200224 is an abundant number, since it is smaller than the sum of its proper divisors (2050755362704).

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

2002201200224 is a wasteful number, since it uses less digits than its factorization.

2002201200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916047 (or 1916039 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 2002201200224 its reverse (4220021022002), we get a palindrome (6222222222226).

The spelling of 2002201200224 in words is "two trillion, two billion, two hundred one million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 883 1184 1766 3532 7064 14128 28256 32671 65342 130684 261368 522736 1045472 1915117 3830234 7660468 15320936 30641872 61283744 70859329 141718658 283437316 566874632 1133749264 1691048311 2267498528 3382096622 6764193244 13528386488 27056772976 54113545952 62568787507 125137575014 250275150028 500550300056 1001100600112 2002201200224