Search a number
-
+
2430220 = 225132719
BaseRepresentation
bin1001010001010100001100
311120110122011
421101110030
51110231340
6124031004
726441122
oct11212414
94513564
102430220
11140a951
12992464
13671200
14473912
153300ea
hex25150c

2430220 has 36 divisors (see below), whose sum is σ = 5533920. Its totient is φ = 896064.

The previous prime is 2430217. The next prime is 2430223. The reversal of 2430220 is 220342.

It is an interprime number because it is at equal distance from previous prime (2430217) and next prime (2430223).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2430220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3021 + ... + 3739.

It is an arithmetic number, because the mean of its divisors is an integer number (153720).

22430220 is an apocalyptic number.

2430220 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 2430220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766960).

2430220 is an abundant number, since it is smaller than the sum of its proper divisors (3103700).

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

2430220 is a wasteful number, since it uses less digits than its factorization.

2430220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2430220 is about 1558.9162902478. The cubic root of 2430220 is about 134.4461995131.

Adding to 2430220 its reverse (220342), we get a palindrome (2650562).

The spelling of 2430220 in words is "two million, four hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 719 845 1438 1690 2876 3380 3595 7190 9347 14380 18694 37388 46735 93470 121511 186940 243022 486044 607555 1215110 2430220