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25225464 = 233111947107
BaseRepresentation
bin110000000111…
…0100011111000
31202110120211110
41200032203320
522424203324
62300400320
7424261425
oct140164370
952416743
1025225464
111326a2a0
1285460a0
1352c2a14
1434c8d4c
152334329
hex180e8f8

25225464 has 128 divisors (see below), whose sum is σ = 74649600. Its totient is φ = 7021440.

The previous prime is 25225463. The next prime is 25225469. The reversal of 25225464 is 46452252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25225463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235699 + ... + 235805.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 225225464 is an apocalyptic number.

25225464 is a gapful number since it is divisible by the number (24) 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 25225464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37324800).

25225464 is an abundant number, since it is smaller than the sum of its proper divisors (49424136).

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

25225464 is a wasteful number, since it uses less digits than its factorization.

25225464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 189 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 25225464 is about 5022.4957939256. The cubic root of 25225464 is about 293.2781588145.

The spelling of 25225464 in words is "twenty-five million, two hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 47 57 66 76 88 94 107 114 132 141 152 188 209 214 228 264 282 321 376 418 428 456 517 564 627 642 836 856 893 1034 1128 1177 1254 1284 1551 1672 1786 2033 2068 2354 2508 2568 2679 3102 3531 3572 4066 4136 4708 5016 5029 5358 6099 6204 7062 7144 8132 9416 9823 10058 10716 12198 12408 14124 15087 16264 19646 20116 21432 22363 24396 28248 29469 30174 39292 40232 44726 48792 55319 58938 60348 67089 78584 89452 95551 110638 117876 120696 134178 165957 178904 191102 221276 235752 268356 286653 331914 382204 442552 536712 573306 663828 764408 1051061 1146612 1327656 2102122 2293224 3153183 4204244 6306366 8408488 12612732 25225464