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226476 = 2235233
BaseRepresentation
bin110111010010101100
3102111200000
4313102230
524221401
64504300
71632165
oct672254
9374600
10226476
11145178
12ab090
137c113
145c76c
1547186
hex374ac

226476 has 36 divisors (see below), whose sum is σ = 596232. Its totient is φ = 75168.

The previous prime is 226463. The next prime is 226483. The reversal of 226476 is 674622.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4032) is a multiple of the sum of its prime factors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (16562).

2226476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298116).

226476 is an abundant number, since it is smaller than the sum of its proper divisors (369756).

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

226476 is a wasteful number, since it uses less digits than its factorization.

226476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 238 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 226476 is about 475.8949463905. The cubic root of 226476 is about 60.9547276735.

The spelling of 226476 in words is "two hundred twenty-six thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 233 243 324 466 486 699 932 972 1398 2097 2796 4194 6291 8388 12582 18873 25164 37746 56619 75492 113238 226476