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25232220 = 223251341263
BaseRepresentation
bin110000001000…
…0001101011100
31202110221002200
41200100031130
522424412340
62300451500
7424320216
oct140201534
952427080
1025232220
1113274382
128549b90
1352c5b10
1434cb5b6
152336330
hex181035c

25232220 has 144 divisors (see below), whose sum is σ = 84756672. Its totient is φ = 6036480.

The previous prime is 25232213. The next prime is 25232239. The reversal of 25232220 is 2223252.

It is a super-2 number, since 2×252322202 = 1273329852256800, which contains 22 as substring.

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 = 25232193 and 25232202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95809 + ... + 96071.

It is an arithmetic number, because the mean of its divisors is an integer number (588588).

Almost surely, 225232220 is an apocalyptic number.

25232220 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 25232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42378336).

25232220 is an abundant number, since it is smaller than the sum of its proper divisors (59524452).

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

25232220 is a wasteful number, since it uses less digits than its factorization.

25232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 25232220 is about 5023.1683228815. The cubic root of 25232220 is about 293.3043388467.

Adding to 25232220 its reverse (2223252), we get a palindrome (27455472).

It can be divided in two parts, 25232 and 220, that added together give a palindrome (25452).

The spelling of 25232220 in words is "twenty-five million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 234 246 260 263 369 390 410 468 492 526 533 585 615 738 780 789 820 1052 1066 1170 1230 1315 1476 1578 1599 1845 2132 2340 2367 2460 2630 2665 3156 3198 3419 3690 3945 4734 4797 5260 5330 6396 6838 7380 7890 7995 9468 9594 10257 10660 10783 11835 13676 15780 15990 17095 19188 20514 21566 23670 23985 30771 31980 32349 34190 41028 43132 47340 47970 51285 53915 61542 64698 68380 95940 97047 102570 107830 123084 129396 140179 153855 161745 194094 205140 215660 280358 307710 323490 388188 420537 485235 560716 615420 646980 700895 841074 970470 1261611 1401790 1682148 1940940 2102685 2523222 2803580 4205370 5046444 6308055 8410740 12616110 25232220