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225663110046 = 232112814055917
BaseRepresentation
bin1101001000101010010…
…0011100101110011110
3210120110211221202021200
43102022210130232132
512144124224010141
6251400155340330
722206066533553
oct3221244345636
9716424852250
10225663110046
1187780a40660
123789a1516a6
13183840499aa
14acca55ca2a
155d0b47dab6
hex348a91cb9e

225663110046 has 48 divisors (see below), whose sum is σ = 535283833968. Its totient is φ = 68139388800.

The previous prime is 225663110027. The next prime is 225663110051. The reversal of 225663110046 is 640011366522.

225663110046 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 631 + 10 + 0 + 4 + 6 = 666.

225663110046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2256631100462 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1972321 + ... + 2083596.

It is an arithmetic number, because the mean of its divisors is an integer number (11151746541).

Almost surely, 2225663110046 is an apocalyptic number.

225663110046 is an abundant number, since it is smaller than the sum of its proper divisors (309620723922).

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

225663110046 is a wasteful number, since it uses less digits than its factorization.

225663110046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4056217 (or 4056214 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 225663110046 its reverse (640011366522), we get a palindrome (865674476568).

The spelling of 225663110046 in words is "two hundred twenty-five billion, six hundred sixty-three million, one hundred ten thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 281 562 843 1686 2529 3091 5058 6182 9273 18546 27819 55638 4055917 8111834 12167751 24335502 36503253 44615087 73006506 89230174 133845261 267690522 401535783 803071566 1139712677 2279425354 3419138031 6838276062 10257414093 12536839447 20514828186 25073678894 37610518341 75221036682 112831555023 225663110046