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2002242321 = 3453736389
BaseRepresentation
bin111011101010111…
…1100101100010001
312011112120110010000
41313111330230101
513100033223241
6530403000213
7100421531112
oct16725745421
95145513100
102002242321
11938239322
1247a669069
1325ba80b91
1414dcc0209
15baba6eb6
hex7757cb11

2002242321 has 40 divisors (see below), whose sum is σ = 3089667240. Its totient is φ = 1291500288.

The previous prime is 2002242317. The next prime is 2002242329. The reversal of 2002242321 is 1232422002.

2002242321 is a `hidden beast` number, since 200 + 22 + 423 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 60606225 + 1941636096 = 7785^2 + 44064^2 .

It is not a de Polignac number, because 2002242321 - 22 = 2002242317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002242294 and 2002242303.

It is not an unprimeable number, because it can be changed into a prime (2002242329) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 310195 + ... + 316583.

It is an arithmetic number, because the mean of its divisors is an integer number (77241681).

Almost surely, 22002242321 is an apocalyptic number.

It is an amenable number.

2002242321 is a deficient number, since it is larger than the sum of its proper divisors (1087424919).

2002242321 is an equidigital number, since it uses as much as digits as its factorization.

2002242321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6527 (or 6518 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2002242321 is about 44746.4224380006. The cubic root of 2002242321 is about 1260.3917319401.

Adding to 2002242321 its reverse (1232422002), we get a palindrome (3234664323).

The spelling of 2002242321 in words is "two billion, two million, two hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 27 53 73 81 159 219 477 657 1431 1971 3869 4293 5913 6389 11607 19167 34821 57501 104463 172503 313389 338617 466397 517509 1015851 1399191 3047553 4197573 9142659 12592719 24719041 27427977 37778157 74157123 222471369 667414107 2002242321