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25245220 = 22571113297
BaseRepresentation
bin110000001001…
…1011000100100
31202111120221011
41200103120210
522430321340
62301032004
7424403140
oct140233044
952446834
1025245220
1113283120
128555604
1352cba00
1434d2220
15233a0ea
hex1813624

25245220 has 144 divisors (see below), whose sum is σ = 72309888. Its totient is φ = 7188480.

The previous prime is 25245139. The next prime is 25245229. The reversal of 25245220 is 2254252.

25245220 = T241 + T242 + ... + T548.

It is a happy number.

It is a super-2 number, since 2×252452202 = 1274642265696800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 25245191 and 25245200.

It is not an unprimeable number, because it can be changed into a prime (25245229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260212 + ... + 260308.

It is an arithmetic number, because the mean of its divisors is an integer number (502152).

Almost surely, 225245220 is an apocalyptic number.

25245220 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 25245220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36154944).

25245220 is an abundant number, since it is smaller than the sum of its proper divisors (47064668).

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

25245220 is a wasteful number, since it uses less digits than its factorization.

25245220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 25245220 is about 5024.4621602715. The cubic root of 25245220 is about 293.3547017262.

Adding to 25245220 its reverse (2254252), we get a palindrome (27499472).

It can be divided in two parts, 2524 and 5220, that added together give a square (7744 = 882).

The spelling of 25245220 in words is "twenty-five million, two hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 97 110 130 140 143 154 169 182 194 220 260 286 308 338 364 385 388 455 485 572 676 679 715 770 845 910 970 1001 1067 1183 1261 1358 1430 1540 1690 1820 1859 1940 2002 2134 2366 2522 2716 2860 3380 3395 3718 4004 4268 4732 5005 5044 5335 5915 6305 6790 7436 7469 8827 9295 10010 10670 11830 12610 13013 13580 13871 14938 16393 17654 18590 20020 21340 23660 25220 26026 27742 29876 32786 35308 37180 37345 44135 52052 55484 65065 65572 69355 74690 81965 88270 97097 114751 130130 138710 149380 163930 176540 180323 194194 229502 260260 277420 327860 360646 388388 459004 485485 573755 721292 901615 970970 1147510 1262261 1803230 1941940 2295020 2524522 3606460 5049044 6311305 12622610 25245220