Search a number
-
+
2141131224 = 233652113681
BaseRepresentation
bin111111110011111…
…0001000111011000
312112012220201212110
41333213301013120
513341112144344
6552243512320
7104026213041
oct17747610730
95465821773
102141131224
119a9681641
124b90886a0
1328178c56b
141645158c8
15c7e8e3b9
hex7f9f11d8

2141131224 has 32 divisors (see below), whose sum is σ = 5354040240. Its totient is φ = 713548800.

The previous prime is 2141131211. The next prime is 2141131241. The reversal of 2141131224 is 4221311412.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2141131224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149664 + ... + 163344.

Almost surely, 22141131224 is an apocalyptic number.

2141131224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141131224 is an abundant number, since it is smaller than the sum of its proper divisors (3212909016).

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

2141131224 is a wasteful number, since it uses less digits than its factorization.

2141131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20211 (or 20207 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 2141131224 is about 46272.3591791039. The cubic root of 2141131224 is about 1288.8857682291.

Adding to 2141131224 its reverse (4221311412), we get a palindrome (6362442636).

The spelling of 2141131224 in words is "two billion, one hundred forty-one million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 6521 13042 13681 19563 26084 27362 39126 41043 52168 54724 78252 82086 109448 156504 164172 328344 89213801 178427602 267641403 356855204 535282806 713710408 1070565612 2141131224