Search a number
-
+
220381616412 = 223212914741837
BaseRepresentation
bin1100110100111111000…
…1001001100100011100
3210001211202220002001100
43031033301021210130
512102320143211122
6245124130513100
721631155555126
oct3151761114434
9701752802040
10220381616412
118551074a291
1236865435790
1317a21a9c929
14a948d44216
155aec971aac
hex334fc4991c

220381616412 has 36 divisors (see below), whose sum is σ = 557507377336. Its totient is φ = 73403621280.

The previous prime is 220381616401. The next prime is 220381616423. The reversal of 220381616412 is 214616183022.

It is a happy number.

220381616412 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 8 + 1 + 6 + 1 + 641 + 2 = 666.

220381616412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220381616401) and next prime (220381616423).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2324443 + ... + 2417394.

Almost surely, 2220381616412 is an apocalyptic number.

It is an amenable number.

220381616412 is an abundant number, since it is smaller than the sum of its proper divisors (337125760924).

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

220381616412 is a wasteful number, since it uses less digits than its factorization.

220381616412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743138 (or 4743133 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 220381616412 its reverse (214616183022), we get a palindrome (434997799434).

The spelling of 220381616412 in words is "two hundred twenty billion, three hundred eighty-one million, six hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1291 2582 3873 5164 7746 11619 15492 23238 46476 4741837 9483674 14225511 18967348 28451022 42676533 56902044 85353066 170706132 6121711567 12243423134 18365134701 24486846268 36730269402 55095404103 73460538804 110190808206 220381616412