Search a number
-
+
2240121078 = 2321322342929
BaseRepresentation
bin1000010110000101…
…1000100011110110
312210010011221102100
42011201120203312
514041432333303
61010141322530
7106340500146
oct20541304366
95703157370
102240121078
11a4a543138
12526266446
1329913b340
14173722926
15d19e48a3
hex858588f6

2240121078 has 48 divisors (see below), whose sum is σ = 5250510720. Its totient is φ = 686161152.

The previous prime is 2240121073. The next prime is 2240121119. The reversal of 2240121078 is 8701210422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240121073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30718 + ... + 73646.

It is an arithmetic number, because the mean of its divisors is an integer number (109385640).

Almost surely, 22240121078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240121078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625255360).

2240121078 is an abundant number, since it is smaller than the sum of its proper divisors (3010389642).

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

2240121078 is a wasteful number, since it uses less digits than its factorization.

2240121078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43173 (or 43170 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2240121078 is about 47329.9173673481. The cubic root of 2240121078 is about 1308.4500983035.

The spelling of 2240121078 in words is "two billion, two hundred forty million, one hundred twenty-one thousand, seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 223 234 446 669 1338 2007 2899 4014 5798 8697 17394 26091 42929 52182 85858 128787 257574 386361 558077 772722 1116154 1674231 3348462 5022693 9573167 10045386 19146334 28719501 57439002 86158503 124451171 172317006 248902342 373353513 746707026 1120060539 2240121078