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25214420 = 22572112339
BaseRepresentation
bin110000000101…
…1110111010100
31202110000200102
41200023313110
522423330140
62300233232
7424214300
oct140136724
952400612
1025214420
1113261a70
12853b818
1352ba99a
1434c4d00
152330e15
hex180bdd4

25214420 has 72 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 7855680.

The previous prime is 25214401. The next prime is 25214447. The reversal of 25214420 is 2441252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 25214392 and 25214401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9611 + ... + 11949.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 225214420 is an apocalyptic number.

25214420 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 25214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

25214420 is an abundant number, since it is smaller than the sum of its proper divisors (42009100).

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

25214420 is a wasteful number, since it uses less digits than its factorization.

25214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 25214420 is about 5021.3962201762. The cubic root of 25214420 is about 293.2353523765.

Adding to 25214420 its reverse (2441252), we get a palindrome (27655672).

The spelling of 25214420 in words is "twenty-five million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2339 2695 4678 5390 9356 10780 11695 16373 23390 25729 32746 46780 51458 65492 81865 102916 114611 128645 163730 180103 229222 257290 327460 360206 458444 514580 573055 720412 900515 1146110 1260721 1801030 2292220 2521442 3602060 5042884 6303605 12607210 25214420