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25221120 = 21135821
BaseRepresentation
bin110000000110…
…1100000000000
31202110100212120
41200031200000
522424033440
62300324240
7424242651
oct140154000
952410776
1025221120
1113267001
128543680
1352c0a52
1434c7528
152332dd0
hex180d800

25221120 has 96 divisors (see below), whose sum is σ = 80786160. Its totient is φ = 6717440.

The previous prime is 25221103. The next prime is 25221137. The reversal of 25221120 is 2112252.

It is an interprime number because it is at equal distance from previous prime (25221103) and next prime (25221137).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×252211202 = 1272209788108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 25221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30310 + ... + 31130.

Almost surely, 225221120 is an apocalyptic number.

25221120 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 25221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40393080).

25221120 is an abundant number, since it is smaller than the sum of its proper divisors (55565040).

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

25221120 is an equidigital number, since it uses as much as digits as its factorization.

25221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 25221120 is about 5022.0633209867. The cubic root of 25221120 is about 293.2613230032.

Adding to 25221120 its reverse (2112252), we get a palindrome (27333372).

The spelling of 25221120 in words is "twenty-five million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 821 960 1024 1280 1536 1642 1920 2048 2463 2560 3072 3284 3840 4105 4926 5120 6144 6568 7680 8210 9852 10240 12315 13136 15360 16420 19704 24630 26272 30720 32840 39408 49260 52544 65680 78816 98520 105088 131360 157632 197040 210176 262720 315264 394080 420352 525440 630528 788160 840704 1050880 1261056 1576320 1681408 2101760 2522112 3152640 4203520 5044224 6305280 8407040 12610560 25221120