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223075501146 = 2334131027799
BaseRepresentation
bin1100111111000001010…
…1100000010001011010
3210022210111220121012000
43033300111200101122
512123324312014041
6250251322101430
722055006321361
oct3176025402132
9708714817160
10223075501146
1186673339803
123729764a876
1318060c24a74
14ab22a247d8
155c091e9bb6
hex33f056045a

223075501146 has 16 divisors (see below), whose sum is σ = 495723336000. Its totient is φ = 74358500364.

The previous prime is 223075501139. The next prime is 223075501153. The reversal of 223075501146 is 641105570322.

223075501146 is a `hidden beast` number, since 2 + 2 + 3 + 0 + 7 + 5 + 501 + 146 = 666.

223075501146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (223075501139) and next prime (223075501153).

It is a super-3 number, since 3×2230755011463 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223075501146.

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 7 ways as a sum of consecutive naturals, for example, 2065513846 + ... + 2065513953.

It is an arithmetic number, because the mean of its divisors is an integer number (30982708500).

Almost surely, 2223075501146 is an apocalyptic number.

223075501146 is an abundant number, since it is smaller than the sum of its proper divisors (272647834854).

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

223075501146 is a wasteful number, since it uses less digits than its factorization.

223075501146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131027810 (or 4131027804 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 223075501146 in words is "two hundred twenty-three billion, seventy-five million, five hundred one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 4131027799 8262055598 12393083397 24786166794 37179250191 74358500382 111537750573 223075501146