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400406022 = 23273304723
BaseRepresentation
bin10111110111011…
…011011000000110
31000220102201210200
4113313123120012
51310000443042
6103422031330
712631252332
oct2767333006
91026381720
10400406022
11196022a75
12b2118546
1364c54353
143b26c7c2
1525243c4c
hex17ddb606

400406022 has 24 divisors (see below), whose sum is σ = 879433464. Its totient is φ = 131639904.

The previous prime is 400405997. The next prime is 400406029. The reversal of 400406022 is 220604004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400405986 and 400406004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400406029) 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, 151048 + ... + 153675.

It is an arithmetic number, because the mean of its divisors is an integer number (36643061).

Almost surely, 2400406022 is an apocalyptic number.

400406022 is an abundant number, since it is smaller than the sum of its proper divisors (479027442).

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

400406022 is a wasteful number, since it uses less digits than its factorization.

400406022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304804 (or 304801 counting only the distinct ones).

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

The square root of 400406022 is about 20010.1479754648. The cubic root of 400406022 is about 737.0555150642.

The spelling of 400406022 in words is "four hundred million, four hundred six thousand, twenty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 304723 609446 914169 1828338 2742507 5485014 22244779 44489558 66734337 133468674 200203011 400406022