Search a number
-
+
25106220 = 22335192447
BaseRepresentation
bin101111111000…
…1011100101100
31202020112021000
41133301130230
522411344340
62254040300
7423253656
oct137613454
952215230
1025106220
1113198747
1284a9090
135280669
1434976d6
15230dd30
hex17f172c

25106220 has 96 divisors (see below), whose sum is σ = 82252800. Its totient is φ = 6340032.

The previous prime is 25106203. The next prime is 25106231. The reversal of 25106220 is 2260152.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 25106193 and 25106202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9037 + ... + 11483.

It is an arithmetic number, because the mean of its divisors is an integer number (856800).

Almost surely, 225106220 is an apocalyptic number.

25106220 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 25106220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41126400).

25106220 is an abundant number, since it is smaller than the sum of its proper divisors (57146580).

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

25106220 is a wasteful number, since it uses less digits than its factorization.

25106220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 25106220 is about 5010.6107412171. The cubic root of 25106220 is about 292.8153075845.

Adding to 25106220 its reverse (2260152), we get a palindrome (27366372).

The spelling of 25106220 in words is "twenty-five million, one hundred six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2447 2565 3420 4894 5130 7341 9788 10260 12235 14682 22023 24470 29364 36705 44046 46493 48940 66069 73410 88092 92986 110115 132138 139479 146820 185972 220230 232465 264276 278958 330345 418437 440460 464930 557916 660690 697395 836874 929860 1255311 1321380 1394790 1673748 2092185 2510622 2789580 4184370 5021244 6276555 8368740 12553110 25106220