Search a number
-
+
25322430 = 2357373259
BaseRepresentation
bin110000010011…
…0001110111110
31202122111211210
41200212032332
522440304210
62302425250
7425144220
oct140461676
952574753
1025322430
1113326131
128592226
135327bb3
143512410
152352e20
hex18263be

25322430 has 64 divisors (see below), whose sum is σ = 71354880. Its totient is φ = 5629824.

The previous prime is 25322419. The next prime is 25322441. The reversal of 25322430 is 3422352.

It is an interprime number because it is at equal distance from previous prime (25322419) and next prime (25322441).

It is a super-2 number, since 2×253224302 = 1282450922209800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 25322397 and 25322406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6141 + ... + 9399.

It is an arithmetic number, because the mean of its divisors is an integer number (1114920).

Almost surely, 225322430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25322430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35677440).

25322430 is an abundant number, since it is smaller than the sum of its proper divisors (46032450).

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

25322430 is a wasteful number, since it uses less digits than its factorization.

25322430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3313.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 25322430 is about 5032.1397039430. The cubic root of 25322430 is about 293.6534627700.

Adding to 25322430 its reverse (3422352), we get a palindrome (28744782).

It can be divided in two parts, 25322 and 430, that added together give a palindrome (25752).

The spelling of 25322430 in words is "twenty-five million, three hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1554 2590 3259 3885 6518 7770 9777 16295 19554 22813 32590 45626 48885 68439 97770 114065 120583 136878 228130 241166 342195 361749 602915 684390 723498 844081 1205830 1688162 1808745 2532243 3617490 4220405 5064486 8440810 12661215 25322430