Search a number
-
+
2233417420 = 22513431071867
BaseRepresentation
bin1000010100011111…
…0011111011001100
312202122120100201201
42011013303323030
514033223324140
61005341515244
7106226510023
oct20507637314
95678510651
102233417420
11a46784623
12523b72b24
13297931c90
141728998ba
15d111d49a
hex851f3ecc

2233417420 has 96 divisors (see below), whose sum is σ = 5219520768. Its totient is φ = 797513472.

The previous prime is 2233417409. The next prime is 2233417441. The reversal of 2233417420 is 247143322.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1195327 + ... + 1197193.

It is an arithmetic number, because the mean of its divisors is an integer number (54370008).

Almost surely, 22233417420 is an apocalyptic number.

2233417420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233417420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609760384).

2233417420 is an abundant number, since it is smaller than the sum of its proper divisors (2986103348).

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

2233417420 is a wasteful number, since it uses less digits than its factorization.

2233417420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2233417420 is about 47259.0459065775. The cubic root of 2233417420 is about 1307.1435965807.

The spelling of 2233417420 in words is "two billion, two hundred thirty-three million, four hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 107 130 172 214 215 260 428 430 535 559 860 1070 1118 1391 1867 2140 2236 2782 2795 3734 4601 5564 5590 6955 7468 9202 9335 11180 13910 18404 18670 23005 24271 27820 37340 46010 48542 59813 80281 92020 97084 119626 121355 160562 199769 239252 242710 299065 321124 399538 401405 485420 598130 799076 802810 998845 1043653 1196260 1605620 1997690 2087306 2596997 3995380 4174612 5193994 5218265 8590067 10387988 10436530 12984985 17180134 20873060 25969970 34360268 42950335 51939940 85900670 111670871 171801340 223341742 446683484 558354355 1116708710 2233417420