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800073468 = 223222224263
BaseRepresentation
bin101111101100000…
…010011011111100
32001202110221110200
4233230002123330
53114304322333
6211220203500
725553340465
oct5754023374
92052427420
10800073468
11380691047
121a3b39590
13c99aa46c
1478387d6c
154a38dc13
hex2fb026fc

800073468 has 18 divisors (see below), whose sum is σ = 2022408024. Its totient is φ = 266691144.

The previous prime is 800073427. The next prime is 800073479. The reversal of 800073468 is 864370008.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 22224263 = 800073468 / (8 + 0 + 0 + 0 + 7 + 3 + 4 + 6 + 8).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 11112096 + ... + 11112167.

Almost surely, 2800073468 is an apocalyptic number.

It is an amenable number.

800073468 is an abundant number, since it is smaller than the sum of its proper divisors (1222334556).

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

800073468 is a wasteful number, since it uses less digits than its factorization.

800073468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224273 (or 22224268 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 800073468 is about 28285.5699606708. The cubic root of 800073468 is about 928.3461832067.

The spelling of 800073468 in words is "eight hundred million, seventy-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 22224263 44448526 66672789 88897052 133345578 200018367 266691156 400036734 800073468