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2220254230131 = 3472559398899
BaseRepresentation
bin100000010011110001011…
…101101111011001110011
321212020212100001000220000
4200103301131233121303
5242334040040331011
64415545401321043
7316256653366500
oct40236135573163
97766770030800
102220254230131
117866716a3953
122ba372796183
131314a4b220b2
14796649144a7
153cb4968a356
hex204f176f673

2220254230131 has 30 divisors (see below), whose sum is σ = 3858174213300. Its totient is φ = 1268716700664.

The previous prime is 2220254230123. The next prime is 2220254230147. The reversal of 2220254230131 is 1310324520222.

2220254230131 is a `hidden beast` number, since 2 + 2 + 202 + 5 + 423 + 0 + 1 + 31 = 666.

It is not a de Polignac number, because 2220254230131 - 23 = 2220254230123 is a prime.

It is a super-2 number, since 2×22202542301312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2220254230095 and 2220254230104.

It is not an unprimeable number, because it can be changed into a prime (2220254230121) 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 29 ways as a sum of consecutive naturals, for example, 279695481 + ... + 279703418.

It is an arithmetic number, because the mean of its divisors is an integer number (128605807110).

Almost surely, 22220254230131 is an apocalyptic number.

2220254230131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2220254230131 is a deficient number, since it is larger than the sum of its proper divisors (1637919983169).

2220254230131 is an equidigital number, since it uses as much as digits as its factorization.

2220254230131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559398925 (or 559398909 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2220254230131 its reverse (1310324520222), we get a palindrome (3530578750353).

The spelling of 2220254230131 in words is "two trillion, two hundred twenty billion, two hundred fifty-four million, two hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 559398899 1678196697 3915792293 5034590091 11747376879 15103770273 27410546051 35242130637 45311310819 82231638153 105726391911 246694914459 317179175733 740084743377 2220254230131