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2002142324 = 227132523809
BaseRepresentation
bin111011101010110…
…0100010001110100
312011112101100221102
41313111210101310
513100022023244
6530400505232
7100420633430
oct16725442164
95145340842
102002142324
11938180186
1247a61b218
1325ba47500
1414dc959c0
15bab8754e
hex77564474

2002142324 has 72 divisors (see below), whose sum is σ = 4349661120. Its totient is φ = 789564672.

The previous prime is 2002142293. The next prime is 2002142399. The reversal of 2002142324 is 4232412002.

It is a junction number, because it is equal to n+sod(n) for n = 2002142296 and 2002142305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2474432 + ... + 2475240.

It is an arithmetic number, because the mean of its divisors is an integer number (60411960).

Almost surely, 22002142324 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 2002142324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174830560).

2002142324 is an abundant number, since it is smaller than the sum of its proper divisors (2347518796).

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

2002142324 is a wasteful number, since it uses less digits than its factorization.

2002142324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2002142324 is about 44745.3050498038. The cubic root of 2002142324 is about 1260.3707492167.

Adding to 2002142324 its reverse (4232412002), we get a palindrome (6234554326).

The spelling of 2002142324 in words is "two billion, two million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 523 676 809 1046 1183 1618 2092 2366 3236 3661 4732 5663 6799 7322 10517 11326 13598 14644 21034 22652 27196 42068 47593 73619 88387 95186 136721 147238 176774 190372 273442 294476 353548 423107 546884 618709 846214 957047 1237418 1692428 1914094 2474836 2961749 3828188 5500391 5923498 11000782 11846996 22001564 38502737 71505083 77005474 143010166 154010948 286020332 500535581 1001071162 2002142324