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1000223442 = 232371501837
BaseRepresentation
bin111011100111100…
…011001011010010
32120201002121121200
4323213203023102
54022024122232
6243130132030
733533521221
oct7347431322
92521077550
101000223442
11473666749
1223ab81016
1312c2b7aba
1496ba8cb8
155cc2777c
hex3b9e32d2

1000223442 has 24 divisors (see below), whose sum is σ = 2225723916. Its totient is φ = 324396576.

The previous prime is 1000223431. The next prime is 1000223447. The reversal of 1000223442 is 2443220001.

1000223442 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 223 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 755645121 + 244578321 = 27489^2 + 15639^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1000223447) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 750253 + ... + 751584.

Almost surely, 21000223442 is an apocalyptic number.

1000223442 is an abundant number, since it is smaller than the sum of its proper divisors (1225500474).

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

1000223442 is a wasteful number, since it uses less digits than its factorization.

1000223442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501882 (or 1501879 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1000223442 is about 31626.3093325794. The cubic root of 1000223442 is about 1000.0744751200.

Adding to 1000223442 its reverse (2443220001), we get a palindrome (3443443443).

The spelling of 1000223442 in words is "one billion, two hundred twenty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1501837 3003674 4505511 9011022 13516533 27033066 55567969 111135938 166703907 333407814 500111721 1000223442