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224042020002 = 23212446778889
BaseRepresentation
bin1101000010100111110…
…0011110110010100010
3210102021212120211210200
43100221330132302202
512132314224120002
6250531250010030
722120653514533
oct3205174366242
9712255524720
10224042020002
1187019974719
1237507276916
131818623b608
14abb513868a
155c63eb5b1c
hex3429f1eca2

224042020002 has 12 divisors (see below), whose sum is σ = 485424376710. Its totient is φ = 74680673328.

The previous prime is 224042019941. The next prime is 224042020019. The reversal of 224042020002 is 200020240422.

224042020002 is a `hidden beast` number, since 2 + 2 + 40 + 420 + 200 + 0 + 2 = 666.

224042020002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 204158481921 + 19883538081 = 451839^2 + 141009^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12446778889 = 224042020002 / (2 + 2 + 4 + 0 + 4 + 2 + 0 + 2 + 0 + 0 + 0 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6223389427 + ... + 6223389462.

Almost surely, 2224042020002 is an apocalyptic number.

224042020002 is an abundant number, since it is smaller than the sum of its proper divisors (261382356708).

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

224042020002 is a wasteful number, since it uses less digits than its factorization.

224042020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446778897 (or 12446778894 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 224042020002 its reverse (200020240422), we get a palindrome (424062260424).

The spelling of 224042020002 in words is "two hundred twenty-four billion, forty-two million, twenty thousand, two".

Divisors: 1 2 3 6 9 18 12446778889 24893557778 37340336667 74680673334 112021010001 224042020002