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225721020 = 22357599109
BaseRepresentation
bin11010111010000…
…11101010111100
3120201201211000210
431131003222330
5430241033040
634221552420
75410411530
oct1535035274
9521654023
10225721020
111064605a8
1263715710
13379c1745
1421d99bc0
1514c3a480
hexd743abc

225721020 has 96 divisors (see below), whose sum is σ = 734630400. Its totient is φ = 50713344.

The previous prime is 225720997. The next prime is 225721021. The reversal of 225721020 is 20127522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225721021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20226 + ... + 29334.

It is an arithmetic number, because the mean of its divisors is an integer number (7652400).

Almost surely, 2225721020 is an apocalyptic number.

225721020 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 225721020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367315200).

225721020 is an abundant number, since it is smaller than the sum of its proper divisors (508909380).

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

225721020 is a wasteful number, since it uses less digits than its factorization.

225721020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 9185 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 225721020 is about 15024.0147763506. The cubic root of 225721020 is about 608.8691941098.

Adding to 225721020 its reverse (20127522), we get a palindrome (245848542).

The spelling of 225721020 in words is "two hundred twenty-five million, seven hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 59 60 70 84 105 118 140 177 210 236 295 354 413 420 590 708 826 885 1180 1239 1652 1770 2065 2478 3540 4130 4956 6195 8260 9109 12390 18218 24780 27327 36436 45545 54654 63763 91090 109308 127526 136635 182180 191289 255052 273270 318815 382578 537431 546540 637630 765156 956445 1074862 1275260 1612293 1912890 2149724 2687155 3224586 3762017 3825780 5374310 6449172 7524034 8061465 10748620 11286051 15048068 16122930 18810085 22572102 32245860 37620170 45144204 56430255 75240340 112860510 225721020