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2002022304 = 25323906713
BaseRepresentation
bin111011101010100…
…0110111110100000
312011112011021022020
41313111012332200
513100004203204
6530354141440
7100416623502
oct16725067640
95145137266
102002022304
119380a8a97
1247a581880
1325ba049a9
1414dc63d72
15bab61bd9
hex77546fa0

2002022304 has 48 divisors (see below), whose sum is σ = 5483806272. Its totient is φ = 638325248.

The previous prime is 2002022291. The next prime is 2002022339. The reversal of 2002022304 is 4032202002.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451149 + ... + 455564.

It is an arithmetic number, because the mean of its divisors is an integer number (114245964).

Almost surely, 22002022304 is an apocalyptic number.

2002022304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2002022304 is an abundant number, since it is smaller than the sum of its proper divisors (3481783968).

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

2002022304 is a wasteful number, since it uses less digits than its factorization.

2002022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906749 (or 906741 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2002022304 is about 44743.9638834111. The cubic root of 2002022304 is about 1260.3455640740.

Adding to 2002022304 its reverse (4032202002), we get a palindrome (6034224306).

It can be divided in two parts, 20020 and 22304, that added together give a palindrome (42324).

The spelling of 2002022304 in words is "two billion, two million, twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 906713 1813426 2720139 3626852 5440278 7253704 10880556 14507408 20854399 21761112 29014816 41708798 43522224 62563197 83417596 87044448 125126394 166835192 250252788 333670384 500505576 667340768 1001011152 2002022304