Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
2231320 = 235713613
BaseRepresentation
bin1000100000110000011000
311012100210111
420200300120
51032400240
6115454104
724652210
oct10406030
94170714
102231320
111294473
128b7334
13601810
14421240
152e11ea
hex220c18

2231320 has 64 divisors (see below), whose sum is σ = 6189120. Its totient is φ = 705024.

The previous prime is 2231311. The next prime is 2231329. The reversal of 2231320 is 231322.

It is a happy number.

2231320 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (2231311) and next prime (2231329).

It is a super-3 number, since 3×22313203 = 33327814028867904000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2231320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231329) 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, 3334 + ... + 3946.

It is an arithmetic number, because the mean of its divisors is an integer number (96705).

22231320 is an apocalyptic number.

2231320 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 2231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094560).

2231320 is an abundant number, since it is smaller than the sum of its proper divisors (3957800).

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

2231320 is a wasteful number, since it uses less digits than its factorization.

2231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2231320 is about 1493.7603556126. The cubic root of 2231320 is about 130.6734285454.

Adding to 2231320 its reverse (231322), we get a palindrome (2462642).

The spelling of 2231320 in words is "two million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 613 728 910 1226 1820 2452 3065 3640 4291 4904 6130 7969 8582 12260 15938 17164 21455 24520 31876 34328 39845 42910 55783 63752 79690 85820 111566 159380 171640 223132 278915 318760 446264 557830 1115660 2231320