Search a number
-
+
2231241340 = 225374764153
BaseRepresentation
bin1000010011111110…
…0000101001111100
312202111110210201011
42010333200221330
514032144210330
61005223125004
7106202144536
oct20477405174
95674423634
102231241340
11a45528709
125232a3764
1329734c663
14172490856
15d0d3d82a
hex84fe0a7c

2231241340 has 48 divisors (see below), whose sum is σ = 4914709632. Its totient is φ = 849885696.

The previous prime is 2231241323. The next prime is 2231241343. The reversal of 2231241340 is 431421322.

2231241340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22312413403 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231241343) 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, 2704 + ... + 66856.

It is an arithmetic number, because the mean of its divisors is an integer number (102389784).

Almost surely, 22231241340 is an apocalyptic number.

2231241340 is a gapful number since it is divisible by the number (20) 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 2231241340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457354816).

2231241340 is an abundant number, since it is smaller than the sum of its proper divisors (2683468292).

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

2231241340 is a wasteful number, since it uses less digits than its factorization.

2231241340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64246 (or 64244 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2231241340 is about 47236.0174019783. The cubic root of 2231241340 is about 1306.7189299807.

Adding to 2231241340 its reverse (431421322), we get a palindrome (2662662662).

The spelling of 2231241340 in words is "two billion, two hundred thirty-one million, two hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 47 74 94 148 185 188 235 370 470 740 940 1739 3478 6956 8695 17390 34780 64153 128306 256612 320765 641530 1283060 2373661 3015191 4747322 6030382 9494644 11868305 12060764 15075955 23736610 30151910 47473220 60303820 111562067 223124134 446248268 557810335 1115620670 2231241340