Search a number
-
+
6226224611004 = 22321026431684973
BaseRepresentation
bin101101010011010011111…
…1001111111111010111100
3211001012222022001111200200
41122212213321333322330
51304002302000023004
621124142121323500
71211554435660056
oct132464771777274
924035868044620
106226224611004
111a90588525a92
12846826036590
13362190815a78
141774cab528d6
15abe5987c239
hex5a9a7e7febc

6226224611004 has 36 divisors (see below), whose sum is σ = 15738674884296. Its totient is φ = 2075386752288.

The previous prime is 6226224611003. The next prime is 6226224611069. The reversal of 6226224611004 is 4001164226226.

6226224611004 is a `hidden beast` number, since 6 + 22 + 622 + 4 + 6 + 1 + 1 + 0 + 0 + 4 = 666.

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

It is a super-2 number, since 2×62262246110042 (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6226224611004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6226224611003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2852662 + ... + 4537634.

Almost surely, 26226224611004 is an apocalyptic number.

It is an amenable number.

6226224611004 is an abundant number, since it is smaller than the sum of its proper divisors (9512450273292).

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

6226224611004 is a wasteful number, since it uses less digits than its factorization.

6226224611004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787626 (or 1787621 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 6226224611004 in words is "six trillion, two hundred twenty-six billion, two hundred twenty-four million, six hundred eleven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 102643 205286 307929 410572 615858 923787 1231716 1684973 1847574 3369946 3695148 5054919 6739892 10109838 15164757 20219676 30329514 60659028 172950683639 345901367278 518852050917 691802734556 1037704101834 1556556152751 2075408203668 3113112305502 6226224611004