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225782028 = 223213745779
BaseRepresentation
bin11010111010100…
…10100100001100
3120201211220201100
431131102210030
5430300011103
634223143100
75411054433
oct1535224414
9521756640
10225782028
111064a241a
1263744a90
1337a13444
1421db411a
1514c4d5a3
hexd75290c

225782028 has 36 divisors (see below), whose sum is σ = 574905240. Its totient is φ = 74709696.

The previous prime is 225782003. The next prime is 225782041. The reversal of 225782028 is 820287522.

225782028 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225781983 and 225782001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17958 + ... + 27821.

It is an arithmetic number, because the mean of its divisors is an integer number (15969590).

Almost surely, 2225782028 is an apocalyptic number.

It is an amenable number.

225782028 is an abundant number, since it is smaller than the sum of its proper divisors (349123212).

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

225782028 is a wasteful number, since it uses less digits than its factorization.

225782028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45926 (or 45921 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 225782028 is about 15026.0449886189. The cubic root of 225782028 is about 608.9240443341.

The spelling of 225782028 in words is "two hundred twenty-five million, seven hundred eighty-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 45779 91558 137337 183116 274674 412011 549348 824022 1648044 6271723 12543446 18815169 25086892 37630338 56445507 75260676 112891014 225782028