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2002114284 = 2231917949057
BaseRepresentation
bin111011101010101…
…1101011011101100
312011112022221110220
41313111131123230
513100020124114
6530400131340
7100420455612
oct16725353354
95145287426
102002114284
11938161105
1247a606b50
1325ba37811
1414dc896b2
15bab7e0a9
hex7755d6ec

2002114284 has 48 divisors (see below), whose sum is σ = 4945046400. Its totient is φ = 628701696.

The previous prime is 2002114277. The next prime is 2002114321. The reversal of 2002114284 is 4824112002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16284 + ... + 65340.

It is an arithmetic number, because the mean of its divisors is an integer number (103021800).

Almost surely, 22002114284 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 2002114284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472523200).

2002114284 is an abundant number, since it is smaller than the sum of its proper divisors (2942932116).

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

2002114284 is a wasteful number, since it uses less digits than its factorization.

2002114284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49262 (or 49260 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2002114284 is about 44744.9917197445. The cubic root of 2002114284 is about 1260.3648653591.

Adding to 2002114284 its reverse (4824112002), we get a palindrome (6826226286).

The spelling of 2002114284 in words is "two billion, two million, one hundred fourteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 179 228 358 537 716 1074 2148 3401 6802 10203 13604 20406 40812 49057 98114 147171 196228 294342 588684 932083 1864166 2796249 3728332 5592498 8781203 11184996 17562406 26343609 35124812 52687218 105374436 166842857 333685714 500528571 667371428 1001057142 2002114284