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225054045140 = 225151701106307
BaseRepresentation
bin1101000110011001000…
…1000011001111010100
3210111220101220001022012
43101212101003033110
512141402313421030
6251215521123352
722155022551251
oct3214621031724
9714811801265
10225054045140
1187499161131
123774a189558
13182b7ac9062
14ac6d6d6428
155cc2c70095
hex34664433d4

225054045140 has 48 divisors (see below), whose sum is σ = 476426530944. Its totient is φ = 89297040000.

The previous prime is 225054045137. The next prime is 225054045217. The reversal of 225054045140 is 41540450522.

225054045140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225054045097 and 225054045106.

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, 2063867 + ... + 2170173.

It is an arithmetic number, because the mean of its divisors is an integer number (9925552728).

Almost surely, 2225054045140 is an apocalyptic number.

225054045140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225054045140 is an abundant number, since it is smaller than the sum of its proper divisors (251372485804).

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

225054045140 is a wasteful number, since it uses less digits than its factorization.

225054045140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107168 (or 107166 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

Adding to 225054045140 its reverse (41540450522), we get a palindrome (266594495662).

The spelling of 225054045140 in words is "two hundred twenty-five billion, fifty-four million, forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 151 302 604 701 755 1402 1510 2804 3020 3505 7010 14020 105851 106307 211702 212614 423404 425228 529255 531535 1058510 1063070 2117020 2126140 16052357 32104714 64209428 74521207 80261785 149042414 160523570 298084828 321047140 372606035 745212070 1490424140 11252702257 22505404514 45010809028 56263511285 112527022570 225054045140