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225386581040 = 24519714301179
BaseRepresentation
bin1101000111101000010…
…1100100110000110000
3210112202120121121210122
43101322011210300300
512143042431043130
6251312520345412
722166201220545
oct3217205446060
9715676547718
10225386581040
1187649938295
1237821615268
131833b97916a
14aca1938bcc
155ce20592e5
hex347a164c30

225386581040 has 40 divisors (see below), whose sum is σ = 526683857040. Its totient is φ = 89696988416.

The previous prime is 225386580983. The next prime is 225386581051. The reversal of 225386581040 is 40185683522.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2253865810402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225386580982 and 225386581000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7134830 + ... + 7166349.

It is an arithmetic number, because the mean of its divisors is an integer number (13167096426).

Almost surely, 2225386581040 is an apocalyptic number.

225386581040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225386581040 is an abundant number, since it is smaller than the sum of its proper divisors (301297276000).

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

225386581040 is a wasteful number, since it uses less digits than its factorization.

225386581040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14301389 (or 14301383 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 225386581040 in words is "two hundred twenty-five billion, three hundred eighty-six million, five hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 394 788 985 1576 1970 3152 3940 7880 15760 14301179 28602358 57204716 71505895 114409432 143011790 228818864 286023580 572047160 1144094320 2817332263 5634664526 11269329052 14086661315 22538658104 28173322630 45077316208 56346645260 112693290520 225386581040