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226944900 = 22325271317163
BaseRepresentation
bin11011000011011…
…10011110000100
3120211000222212200
431201232132010
5431044214100
634304114500
75423666640
oct1541563604
9524028780
10226944900
11107117076
1264005a30
133802c830
14221d7c20
1514dcce00
hexd86e784

226944900 has 432 divisors, whose sum is σ = 932690304. Its totient is φ = 44789760.

The previous prime is 226944889. The next prime is 226944937. The reversal of 226944900 is 9449622.

226944900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1392219 + ... + 1392381.

Almost surely, 2226944900 is an apocalyptic number.

226944900 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 226944900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466345152).

226944900 is an abundant number, since it is smaller than the sum of its proper divisors (705745404).

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

226944900 is a wasteful number, since it uses less digits than its factorization.

226944900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226944900 is about 15064.6905046204. The cubic root of 226944900 is about 609.9676593084.

The spelling of 226944900 in words is "two hundred twenty-six million, nine hundred forty-four thousand, nine hundred".