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25224320 = 275113583
BaseRepresentation
bin110000000111…
…0010010000000
31202110112021002
41200032102000
522424134240
62300351132
7424255202
oct140162200
952415232
1025224320
1113269450
1285454a8
1352c2344
1434c8772
152333d15
hex180e480

25224320 has 64 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 9169920.

The previous prime is 25224319. The next prime is 25224323. The reversal of 25224320 is 2342252.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 25224292 and 25224301.

It is not an unprimeable number, because it can be changed into a prime (25224323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5249 + ... + 8831.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 225224320 is an apocalyptic number.

25224320 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 25224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

25224320 is an abundant number, since it is smaller than the sum of its proper divisors (40577920).

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

25224320 is a wasteful number, since it uses less digits than its factorization.

25224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 25224320 is about 5022.3819050327. The cubic root of 25224320 is about 293.2737252616.

Adding to 25224320 its reverse (2342252), we get a palindrome (27566572).

The spelling of 25224320 in words is "twenty-five million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 3583 7040 7166 14332 17915 28664 35830 39413 57328 71660 78826 114656 143320 157652 197065 229312 286640 315304 394130 458624 573280 630608 788260 1146560 1261216 1576520 2293120 2522432 3153040 5044864 6306080 12612160 25224320