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225018105081 = 371123183127271
BaseRepresentation
bin1101000110010000011…
…1111100110011111001
3210111210220021002210220
43101210013330303321
512141314113330311
6251212154530253
722154105222610
oct3214407746371
9714726232726
10225018105081
118747a943900
123773a136989
13182b0524453
14ac68a1c877
155cbea21206
hex34641fccf9

225018105081 has 192 divisors, whose sum is σ = 398299496448. Its totient is φ = 110469744000.

The previous prime is 225018105047. The next prime is 225018105107. The reversal of 225018105081 is 180501810522.

It is not a de Polignac number, because 225018105081 - 27 = 225018104953 is a prime.

It is a super-2 number, since 2×2250181050812 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225018105581) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 830324976 + ... + 830325246.

It is an arithmetic number, because the mean of its divisors is an integer number (2074476544).

Almost surely, 2225018105081 is an apocalyptic number.

225018105081 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

225018105081 is a deficient number, since it is larger than the sum of its proper divisors (173281391367).

225018105081 is a wasteful number, since it uses less digits than its factorization.

225018105081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 33.

The spelling of 225018105081 in words is "two hundred twenty-five billion, eighteen million, one hundred five thousand, eighty-one".