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226479400 = 23527161771
BaseRepresentation
bin11010111111111…
…00110100101000
3120210011100022221
431133330310220
5430434320100
634250123424
75420020540
oct1537746450
9523140287
10226479400
11106929364
1263a20574
1337bc89a4
1422116320
1514d3a01a
hexd7fcd28

226479400 has 48 divisors (see below), whose sum is σ = 601791840. Its totient is φ = 77649600.

The previous prime is 226479391. The next prime is 226479419. The reversal of 226479400 is 4974622.

226479400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 79486 + ... + 82285.

It is an arithmetic number, because the mean of its divisors is an integer number (12537330).

Almost surely, 2226479400 is an apocalyptic number.

226479400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226479400 is an abundant number, since it is smaller than the sum of its proper divisors (375312440).

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

226479400 is a wasteful number, since it uses less digits than its factorization.

226479400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161794 (or 161785 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 226479400 is about 15049.2325385715. The cubic root of 226479400 is about 609.5503270217.

The spelling of 226479400 in words is "two hundred twenty-six million, four hundred seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 161771 323542 647084 808855 1132397 1294168 1617710 2264794 3235420 4044275 4529588 5661985 6470840 8088550 9059176 11323970 16177100 22647940 28309925 32354200 45295880 56619850 113239700 226479400