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226470000 = 243547549
BaseRepresentation
bin11010111111110…
…10100001110000
3120210010212102210
431133322201300
5430434020000
634250012120
75416651251
oct1537724160
9523125383
10226470000
11106922299
1263a17040
1337bc4623
1422112b28
1514d37350
hexd7fa870

226470000 has 100 divisors (see below), whose sum is σ = 731172200. Its totient is φ = 60384000.

The previous prime is 226469993. The next prime is 226470031. The reversal of 226470000 is 74622.

It is a happy number.

226470000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26226 + ... + 33774.

It is an arithmetic number, because the mean of its divisors is an integer number (7311722).

Almost surely, 2226470000 is an apocalyptic number.

226470000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365586100).

226470000 is an abundant number, since it is smaller than the sum of its proper divisors (504702200).

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

226470000 is an equidigital number, since it uses as much as digits as its factorization.

226470000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7580 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 226470000 is about 15048.9202270462. The cubic root of 226470000 is about 609.5418938009.

The spelling of 226470000 in words is "two hundred twenty-six million, four hundred seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 7549 10000 15000 15098 22647 30000 30196 37745 45294 60392 75490 90588 113235 120784 150980 181176 188725 226470 301960 362352 377450 452940 566175 603920 754900 905880 943625 1132350 1509800 1811760 1887250 2264700 2830875 3019600 3774500 4529400 4718125 5661750 7549000 9058800 9436250 11323500 14154375 15098000 18872500 22647000 28308750 37745000 45294000 56617500 75490000 113235000 226470000