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2002100568 = 233138972101
BaseRepresentation
bin111011101010101…
…1010000101011000
312011112022020122220
41313111122011120
513100014204233
6530355544040
7100420400616
oct16725320530
95145266586
102002100568
11938151876
1247a5bb020
1325ba314c0
1414dc846b6
15bab79eb3
hex7755a158

2002100568 has 64 divisors (see below), whose sum is σ = 5450911200. Its totient is φ = 609100800.

The previous prime is 2002100563. The next prime is 2002100609. The reversal of 2002100568 is 8650012002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002100563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8283 + ... + 63818.

Almost surely, 22002100568 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 2002100568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725455600).

2002100568 is an abundant number, since it is smaller than the sum of its proper divisors (3448810632).

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

2002100568 is a wasteful number, since it uses less digits than its factorization.

2002100568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72212 (or 72208 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2002100568 is about 44744.8384509320. The cubic root of 2002100568 is about 1260.3619872011.

The spelling of 2002100568 in words is "two billion, two million, one hundred thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 89 104 156 178 267 312 356 534 712 1068 1157 2136 2314 3471 4628 6942 9256 13884 27768 72101 144202 216303 288404 432606 576808 865212 937313 1730424 1874626 2811939 3749252 5623878 6416989 7498504 11247756 12833978 19250967 22495512 25667956 38501934 51335912 77003868 83420857 154007736 166841714 250262571 333683428 500525142 667366856 1001050284 2002100568