Search a number
-
+
2133633424 = 2413191992713
BaseRepresentation
bin111111100101100…
…1010100110010000
312111200210210211011
41333023022212100
513332202232144
6551415100304
7103605404416
oct17713124620
95450723734
102133633424
119a542040a
124b6671694
132800658b0
141635232b6
15c74aca34
hex7f2ca990

2133633424 has 80 divisors (see below), whose sum is σ = 4711504000. Its totient is φ = 927894528.

The previous prime is 2133633421. The next prime is 2133633451. The reversal of 2133633424 is 4243363312.

It is not an unprimeable number, because it can be changed into a prime (2133633421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785092 + ... + 787804.

It is an arithmetic number, because the mean of its divisors is an integer number (58893800).

Almost surely, 22133633424 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 2133633424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355752000).

2133633424 is an abundant number, since it is smaller than the sum of its proper divisors (2577870576).

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

2133633424 is a wasteful number, since it uses less digits than its factorization.

2133633424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2946 counting only the distinct ones).

The product of its digits is 31104, while the sum is 31.

The square root of 2133633424 is about 46191.2699976955. The cubic root of 2133633424 is about 1287.3795379677.

Adding to 2133633424 its reverse (4243363312), we get a palindrome (6376996736).

The spelling of 2133633424 in words is "two billion, one hundred thirty-three million, six hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 199 208 247 304 398 494 796 988 1592 1976 2587 2713 3184 3781 3952 5174 5426 7562 10348 10852 15124 20696 21704 30248 35269 41392 43408 49153 51547 60496 70538 98306 103094 141076 196612 206188 282152 393224 412376 539887 564304 670111 786448 824752 1079774 1340222 2159548 2680444 4319096 5360888 7018531 8638192 10257853 10721776 14037062 20515706 28074124 41031412 56148248 82062824 112296496 133352089 164125648 266704178 533408356 1066816712 2133633424