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25268224 = 21231199
BaseRepresentation
bin110000001100…
…1000000000000
31202112202111011
41200121000000
522432040344
62301330304
7424530202
oct140310000
952482434
1025268224
1113299433
128566994
135309317
1434da772
152341d34
hex1819000

25268224 has 52 divisors (see below), whose sum is σ = 52422400. Its totient is φ = 12165120.

The previous prime is 25268183. The next prime is 25268263. The reversal of 25268224 is 42286252.

It is a super-2 number, since 2×252682242 = 1276966288228352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126877 + ... + 127075.

Almost surely, 225268224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211200).

25268224 is an abundant number, since it is smaller than the sum of its proper divisors (27154176).

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

25268224 is an equidigital number, since it uses as much as digits as its factorization.

25268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its digits is 15360, while the sum is 31.

The square root of 25268224 is about 5026.7508392599. The cubic root of 25268224 is about 293.4437784286.

The spelling of 25268224 in words is "twenty-five million, two hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 199 248 256 398 496 512 796 992 1024 1592 1984 2048 3184 3968 4096 6169 6368 7936 12338 12736 15872 24676 25472 31744 49352 50944 63488 98704 101888 126976 197408 203776 394816 407552 789632 815104 1579264 3158528 6317056 12634112 25268224