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400022226 = 2356591249
BaseRepresentation
bin10111110101111…
…101101011010010
31000212201020100000
4113311331223102
51304401202401
6103405510430
712625063362
oct2765755322
91025636300
10400022226
1119589068a
12b1b72416
1364b4b756
143b1ac9a2
15251ba186
hex17d7dad2

400022226 has 48 divisors (see below), whose sum is σ = 900900000. Its totient is φ = 133031808.

The previous prime is 400022221. The next prime is 400022243. The reversal of 400022226 is 622220004.

It is a happy number.

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 = 400022199 and 400022208.

It is not an unprimeable number, because it can be changed into a prime (400022221) by changing a digit.

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, 319650 + ... + 320898.

It is an arithmetic number, because the mean of its divisors is an integer number (18768750).

Almost surely, 2400022226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400022226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450450000).

400022226 is an abundant number, since it is smaller than the sum of its proper divisors (500877774).

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

400022226 is a wasteful number, since it uses less digits than its factorization.

400022226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1913 counting only the distinct ones).

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

The square root of 400022226 is about 20000.5556422815. Note that the first 3 decimals coincide. The cubic root of 400022226 is about 736.8199463560.

The spelling of 400022226 in words is "four hundred million, twenty-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 659 1249 1318 1977 2498 3747 3954 5931 7494 11241 11862 17793 22482 33723 35586 53379 67446 101169 106758 160137 202338 303507 320274 607014 823091 1646182 2469273 4938546 7407819 14815638 22223457 44446914 66670371 133340742 200011113 400022226