Search a number
-
+
225727421540 = 22517976844373
BaseRepresentation
bin1101001000111001100…
…1110001110001100100
3210120122022222010001212
43102032121301301210
512144242204442130
6251410414010552
722210510265615
oct3221631616144
9716568863055
10225727421540
1187804276855
12378b77a6a58
131839447622a
14acd4cddc0c
155d11e33e95
hex348e671c64

225727421540 has 48 divisors (see below), whose sum is σ = 507085980912. Its totient is φ = 84103643136.

The previous prime is 225727421527. The next prime is 225727421593. The reversal of 225727421540 is 45124727522.

It can be written as a sum of positive squares in 8 ways, for example, as 18500352256 + 207227069284 = 136016^2 + 455222^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3389207 + ... + 3455166.

It is an arithmetic number, because the mean of its divisors is an integer number (10564291269).

Almost surely, 2225727421540 is an apocalyptic number.

225727421540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225727421540 is an abundant number, since it is smaller than the sum of its proper divisors (281358559372).

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

225727421540 is a wasteful number, since it uses less digits than its factorization.

225727421540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844496 (or 6844494 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 41.

The spelling of 225727421540 in words is "two hundred twenty-five billion, seven hundred twenty-seven million, four hundred twenty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 3298 6596 8245 16490 32980 6844373 13688746 27377492 34221865 68443730 116354341 136887460 232708682 465417364 581771705 663904181 1163543410 1327808362 2327086820 2655616724 3319520905 6639041810 11286371077 13278083620 22572742154 45145484308 56431855385 112863710770 225727421540