Search a number
-
+
2240032432 = 241125150707
BaseRepresentation
bin1000010110000100…
…0010111010110000
312210010000102211011
42011201002322300
514041422014212
61010135400304
7106336650541
oct20541027260
95703012734
102240032432
11a4a492580
12526223094
13299109ba1
141736dc4c8
15d19c84a7
hex85842eb0

2240032432 has 40 divisors (see below), whose sum is σ = 4753570752. Its totient is φ = 1014120000.

The previous prime is 2240032397. The next prime is 2240032433. The reversal of 2240032432 is 2342300422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2240032433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18823 + ... + 69529.

Almost surely, 22240032432 is an apocalyptic number.

2240032432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240032432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376785376).

2240032432 is an abundant number, since it is smaller than the sum of its proper divisors (2513538320).

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

2240032432 is a wasteful number, since it uses less digits than its factorization.

2240032432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50977 (or 50971 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2240032432 is about 47328.9808890916. The cubic root of 2240032432 is about 1308.4328387606.

Adding to 2240032432 its reverse (2342300422), we get a palindrome (4582332854).

The spelling of 2240032432 in words is "two billion, two hundred forty million, thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 251 502 1004 2008 2761 4016 5522 11044 22088 44176 50707 101414 202828 405656 557777 811312 1115554 2231108 4462216 8924432 12727457 25454914 50909828 101819656 140002027 203639312 280004054 560008108 1120016216 2240032432