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2002220010234 = 232111234445013
BaseRepresentation
bin11101001000101101100…
…111001100101011111010
321002102002011012001111100
4131020231213030223322
5230301021310311414
64131450203312230
7264440610165063
oct35105547145372
97072064161440
102002220010234
11702155aa8394
1228406351b676
13116a684809b2
146cc9d65956a
1537137d4d609
hex1d22d9ccafa

2002220010234 has 12 divisors (see below), whose sum is σ = 4338143355546. Its totient is φ = 667406670072.

The previous prime is 2002220010233. The next prime is 2002220010257. The reversal of 2002220010234 is 4320100222002.

2002220010234 is a `hidden beast` number, since 200 + 2 + 220 + 0 + 10 + 234 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1932230662209 + 69989348025 = 1390047^2 + 264555^2 .

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: 111234445013 = 2002220010234 / (2 + 0 + 0 + 2 + 2 + 2 + 0 + 0 + 1 + 0 + 2 + 3 + 4).

It is not an unprimeable number, because it can be changed into a prime (2002220010233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55617222489 + ... + 55617222524.

Almost surely, 22002220010234 is an apocalyptic number.

2002220010234 is an abundant number, since it is smaller than the sum of its proper divisors (2335923345312).

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

2002220010234 is a wasteful number, since it uses less digits than its factorization.

2002220010234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111234445021 (or 111234445018 counting only the distinct ones).

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

Adding to 2002220010234 its reverse (4320100222002), we get a palindrome (6322320232236).

The spelling of 2002220010234 in words is "two trillion, two billion, two hundred twenty million, ten thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 111234445013 222468890026 333703335039 667406670078 1001110005117 2002220010234