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25230816 = 25321323293
BaseRepresentation
bin110000000111…
…1110111100000
31202110212011200
41200033313200
522424341231
62300441200
7424313142
oct140176740
952425150
1025230816
1113273316
128549200
1352c52a0
1434cac92
152335be6
hex180fde0

25230816 has 144 divisors (see below), whose sum is σ = 80904096. Its totient is φ = 7400448.

The previous prime is 25230811. The next prime is 25230817. The reversal of 25230816 is 61803252.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 25230816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25230811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85966 + ... + 86258.

It is an arithmetic number, because the mean of its divisors is an integer number (561834).

Almost surely, 225230816 is an apocalyptic number.

25230816 is a gapful number since it is divisible by the number (26) 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 25230816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40452048).

25230816 is an abundant number, since it is smaller than the sum of its proper divisors (55673280).

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

25230816 is a wasteful number, since it uses less digits than its factorization.

25230816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 25230816 is about 5023.0285685033. The cubic root of 25230816 is about 293.2988986208.

The spelling of 25230816 in words is "twenty-five million, two hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 234 276 288 293 299 312 368 414 416 468 552 586 598 624 736 828 879 897 936 1104 1172 1196 1248 1656 1758 1794 1872 2208 2344 2392 2637 2691 3312 3516 3588 3744 3809 4688 4784 5274 5382 6624 6739 7032 7176 7618 9376 9568 10548 10764 11427 13478 14064 14352 15236 20217 21096 21528 22854 26956 28128 28704 30472 34281 40434 42192 43056 45708 53912 60651 60944 68562 80868 84384 86112 87607 91416 107824 121302 121888 137124 161736 175214 182832 215648 242604 262821 274248 323472 350428 365664 485208 525642 548496 646944 700856 788463 970416 1051284 1096992 1401712 1576926 1940832 2102568 2803424 3153852 4205136 6307704 8410272 12615408 25230816