Search a number
-
+
2220665024 = 26294725457
BaseRepresentation
bin1000010001011100…
…1010100011000000
312201202120110201202
42010113022203000
514021442240044
61004204320332
7106013225024
oct20427124300
95652513652
102220665024
11a3a564556
1251b8430a8
132950b8696
14170cda384
15cee4ec4e
hex845ca8c0

2220665024 has 56 divisors (see below), whose sum is σ = 4655759040. Its totient is φ = 1049194496.

The previous prime is 2220665011. The next prime is 2220665047. The reversal of 2220665024 is 4205660222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74504 + ... + 99960.

Almost surely, 22220665024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220665024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327879520).

2220665024 is an abundant number, since it is smaller than the sum of its proper divisors (2435094016).

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

2220665024 is a wasteful number, since it uses less digits than its factorization.

2220665024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25545 (or 25535 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2220665024 is about 47123.9326032962. The cubic root of 2220665024 is about 1304.6509979176.

The spelling of 2220665024 in words is "two billion, two hundred twenty million, six hundred sixty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 188 232 376 464 752 928 1363 1504 1856 2726 3008 5452 10904 21808 25457 43616 50914 87232 101828 203656 407312 738253 814624 1196479 1476506 1629248 2392958 2953012 4785916 5906024 9571832 11812048 19143664 23624096 34697891 38287328 47248192 69395782 76574656 138791564 277583128 555166256 1110332512 2220665024