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25225120 = 255374261
BaseRepresentation
bin110000000111…
…0011110100000
31202110120100201
41200032132200
522424200440
62300354544
7424260424
oct140163640
952416321
1025225120
111326a008
128545a54
1352c280b
1434c8b84
15233419a
hex180e7a0

25225120 has 48 divisors (see below), whose sum is σ = 61219368. Its totient is φ = 9815040.

The previous prime is 25225117. The next prime is 25225129. The reversal of 25225120 is 2152252.

It can be written as a sum of positive squares in 4 ways, for example, as 25120144 + 104976 = 5012^2 + 324^2 .

It is not an unprimeable number, because it can be changed into a prime (25225129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3790 + ... + 8050.

Almost surely, 225225120 is an apocalyptic number.

25225120 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 25225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30609684).

25225120 is an abundant number, since it is smaller than the sum of its proper divisors (35994248).

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

25225120 is a wasteful number, since it uses less digits than its factorization.

25225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 25225120 is about 5022.4615478867. The cubic root of 25225120 is about 293.2768256624.

Adding to 25225120 its reverse (2152252), we get a palindrome (27377372).

The spelling of 25225120 in words is "twenty-five million, two hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 4261 5920 8522 17044 21305 34088 42610 68176 85220 136352 157657 170440 315314 340880 630628 681760 788285 1261256 1576570 2522512 3153140 5045024 6306280 12612560 25225120