Search a number
-
+
2240135112 = 2331926318679
BaseRepresentation
bin1000010110000101…
…1011111111001000
312210010012122200010
42011201123333020
514041433310422
61010141511520
7106340556105
oct20541337710
95703178603
102240135112
11a4a552736
125262725a0
13299144847
14173727aac
15d19e8b0c
hex8585bfc8

2240135112 has 64 divisors (see below), whose sum is σ = 5917824000. Its totient is φ = 704683584.

The previous prime is 2240135083. The next prime is 2240135179. The reversal of 2240135112 is 2115310422.

2240135112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110589 + ... + 129267.

It is an arithmetic number, because the mean of its divisors is an integer number (92466000).

Almost surely, 22240135112 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 2240135112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958912000).

2240135112 is an abundant number, since it is smaller than the sum of its proper divisors (3677688888).

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

2240135112 is a wasteful number, since it uses less digits than its factorization.

2240135112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18970 (or 18966 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2240135112 is about 47330.0656242942. The cubic root of 2240135112 is about 1308.4528307079.

Adding to 2240135112 its reverse (2115310422), we get a palindrome (4355445534).

The spelling of 2240135112 in words is "two billion, two hundred forty million, one hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 263 456 526 789 1052 1578 2104 3156 4997 6312 9994 14991 18679 19988 29982 37358 39976 56037 59964 74716 112074 119928 149432 224148 354901 448296 709802 1064703 1419604 2129406 2839208 4258812 4912577 8517624 9825154 14737731 19650308 29475462 39300616 58950924 93338963 117901848 186677926 280016889 373355852 560033778 746711704 1120067556 2240135112