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225540020 = 22517719343
BaseRepresentation
bin11010111000101…
…11011110110100
3120201101121202002
431130113132310
5430214240040
634214034432
75406026036
oct1534273664
9521347662
10225540020
11106347612
1263648a18
133795a244
1421d4dc56
1514c01a15
hexd7177b4

225540020 has 48 divisors (see below), whose sum is σ = 508612608. Its totient is φ = 83704320.

The previous prime is 225540019. The next prime is 225540041. The reversal of 225540020 is 20045522.

225540020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 225539974 and 225540001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19469 + ... + 28811.

It is an arithmetic number, because the mean of its divisors is an integer number (10596096).

Almost surely, 2225540020 is an apocalyptic number.

225540020 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 225540020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254306304).

225540020 is an abundant number, since it is smaller than the sum of its proper divisors (283072588).

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

225540020 is a wasteful number, since it uses less digits than its factorization.

225540020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440 (or 9438 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 225540020 is about 15017.9898788087. The cubic root of 225540020 is about 608.7064049668.

Adding to 225540020 its reverse (20045522), we get a palindrome (245585542).

The spelling of 225540020 in words is "two hundred twenty-five million, five hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4828 6035 9343 12070 18686 24140 37372 46715 93430 158831 186860 317662 635324 663353 794155 1326706 1588310 2653412 3176620 3316765 6633530 11277001 13267060 22554002 45108004 56385005 112770010 225540020