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225146340 = 223251250813
BaseRepresentation
bin11010110101101…
…11010111100100
3120200122121201100
431122313113210
5430114140330
634201400100
75402466216
oct1532672744
9520577640
10225146340
111060a8861
1263499030
133784ccb3
1421c8a5b6
1514b75060
hexd6b75e4

225146340 has 36 divisors (see below), whose sum is σ = 682944444. Its totient is φ = 60038976.

The previous prime is 225146329. The next prime is 225146357. The reversal of 225146340 is 43641522.

225146340 is a `hidden beast` number, since 2 + 25 + 1 + 4 + 634 + 0 = 666.

225146340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 127373796 + 97772544 = 11286^2 + 9888^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 625227 + ... + 625586.

It is an arithmetic number, because the mean of its divisors is an integer number (18970679).

Almost surely, 2225146340 is an apocalyptic number.

225146340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225146340 is an abundant number, since it is smaller than the sum of its proper divisors (457798104).

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

225146340 is a wasteful number, since it uses less digits than its factorization.

225146340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250828 (or 1250823 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 225146340 is about 15004.8772070950. The cubic root of 225146340 is about 608.3520331192.

Adding to 225146340 its reverse (43641522), we get a palindrome (268787862).

The spelling of 225146340 in words is "two hundred twenty-five million, one hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1250813 2501626 3752439 5003252 6254065 7504878 11257317 12508130 15009756 18762195 22514634 25016260 37524390 45029268 56286585 75048780 112573170 225146340