Search a number
-
+
25228400 = 2452591069
BaseRepresentation
bin110000000111…
…1010001110000
31202110201212012
41200033101300
522424302100
62300422052
7424303121
oct140172160
952421765
1025228400
111327151a
128547928
1352c4162
1434ca048
152335135
hex180f470

25228400 has 60 divisors (see below), whose sum is σ = 61696200. Its totient is φ = 9911040.

The previous prime is 25228397. The next prime is 25228403. The reversal of 25228400 is 482252.

It is an interprime number because it is at equal distance from previous prime (25228397) and next prime (25228403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25228403) 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, 23066 + ... + 24134.

It is an arithmetic number, because the mean of its divisors is an integer number (1028270).

Almost surely, 225228400 is an apocalyptic number.

25228400 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 25228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30848100).

25228400 is an abundant number, since it is smaller than the sum of its proper divisors (36467800).

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

25228400 is a wasteful number, since it uses less digits than its factorization.

25228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 25228400 is about 5022.7880703848. The cubic root of 25228400 is about 293.2895366200.

The spelling of 25228400 in words is "twenty-five million, two hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 944 1069 1180 1475 2138 2360 2950 4276 4720 5345 5900 8552 10690 11800 17104 21380 23600 26725 42760 53450 63071 85520 106900 126142 213800 252284 315355 427600 504568 630710 1009136 1261420 1576775 2522840 3153550 5045680 6307100 12614200 25228400