Search a number
-
+
2220131420 = 225138538967
BaseRepresentation
bin1000010001010100…
…1000010001011100
312201201120100202122
42010111020101130
514021323201140
61004145042112
7106005543233
oct20425102134
95651510678
102220131420
11a3a22a661
1251b626338
13294c5c840
14170bdbb1a
15ced96ab5
hex8454845c

2220131420 has 24 divisors (see below), whose sum is σ = 5020913184. Its totient is φ = 819740736.

The previous prime is 2220131411. The next prime is 2220131429. The reversal of 2220131420 is 241310222.

It is an interprime number because it is at equal distance from previous prime (2220131411) and next prime (2220131429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220131429) by changing a digit.

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, 4269224 + ... + 4269743.

It is an arithmetic number, because the mean of its divisors is an integer number (209204716).

Almost surely, 22220131420 is an apocalyptic number.

2220131420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220131420 is an abundant number, since it is smaller than the sum of its proper divisors (2800781764).

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

2220131420 is a wasteful number, since it uses less digits than its factorization.

2220131420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538989 (or 8538987 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2220131420 is about 47118.2705540006. The cubic root of 2220131420 is about 1304.5464912718.

Adding to 2220131420 its reverse (241310222), we get a palindrome (2461441642).

The spelling of 2220131420 in words is "two billion, two hundred twenty million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8538967 17077934 34155868 42694835 85389670 111006571 170779340 222013142 444026284 555032855 1110065710 2220131420