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226126432 = 2572343891
BaseRepresentation
bin11010111101001…
…10101001100000
3120202111102011001
431132212221200
5430342021212
634234401344
75414020510
oct1536465140
9522442131
10226126432
11106708154
1263890254
1337b0412c
1422063840
1514cba657
hexd7a6a60

226126432 has 48 divisors (see below), whose sum is σ = 530917632. Its totient is φ = 92695680.

The previous prime is 226126403. The next prime is 226126471. The reversal of 226126432 is 234621622.

226126432 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 2×2261264322 = 102266326498101248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 226126432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16794 + ... + 27097.

It is an arithmetic number, because the mean of its divisors is an integer number (11060784).

Almost surely, 2226126432 is an apocalyptic number.

It is an amenable number.

226126432 is an abundant number, since it is smaller than the sum of its proper divisors (304791200).

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

226126432 is a wasteful number, since it uses less digits than its factorization.

226126432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43931 (or 43923 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 226126432 is about 15037.5008561928. The cubic root of 226126432 is about 609.2335011088.

The spelling of 226126432 in words is "two hundred twenty-six million, one hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 43891 87782 175564 307237 351128 614474 702256 1009493 1228948 1404512 2018986 2457896 4037972 4915792 7066451 8075944 9831584 14132902 16151888 28265804 32303776 56531608 113063216 226126432