Search a number
-
+
2124434202 = 2311101421757
BaseRepresentation
bin111111010100000…
…0100101100011010
312111001111102212020
41332220010230122
513322323343302
6550445555310
7103434251502
oct17650045432
95431442766
102124434202
119a0207950
124b3575b36
1327b194677
1416220aa02
15c6791ebc
hex7ea04b1a

2124434202 has 64 divisors (see below), whose sum is σ = 4698338688. Its totient is φ = 635040000.

The previous prime is 2124434197. The next prime is 2124434227. The reversal of 2124434202 is 2024344212.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2806008 + ... + 2806764.

It is an arithmetic number, because the mean of its divisors is an integer number (73411542).

Almost surely, 22124434202 is an apocalyptic number.

2124434202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124434202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349169344).

2124434202 is an abundant number, since it is smaller than the sum of its proper divisors (2573904486).

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

2124434202 is a wasteful number, since it uses less digits than its factorization.

2124434202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2124434202 is about 46091.5849369492. The cubic root of 2124434202 is about 1285.5266812020.

Adding to 2124434202 its reverse (2024344212), we get a palindrome (4148778414).

The spelling of 2124434202 in words is "two billion, one hundred twenty-four million, four hundred thirty-four thousand, two hundred two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 421 606 757 842 1111 1263 1514 2222 2271 2526 3333 4542 4631 6666 8327 9262 13893 16654 24981 27786 42521 49962 76457 85042 127563 152914 229371 255126 318697 458742 467731 637394 841027 935462 956091 1403193 1682054 1912182 2523081 2806386 3505667 5046162 7011334 10517001 21034002 32188397 64376794 96565191 193130382 354072367 708144734 1062217101 2124434202