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226229472 = 253272172341
BaseRepresentation
bin11010111101111…
…11110011100000
3120202200122111100
431132333303200
5430403320342
634240514400
75414630100
oct1536776340
9522618440
10226229472
11106778607
126391ba00
1337b3bcc1
142208d200
1514cdae4c
hexd7bfce0

226229472 has 432 divisors, whose sum is σ = 847016352. Its totient is φ = 56770560.

The previous prime is 226229461. The next prime is 226229477. The reversal of 226229472 is 274922622.

226229472 is a `hidden beast` number, since 22 + 622 + 9 + 4 + 7 + 2 = 666.

226229472 is digitally balanced in base 3, 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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226229477) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5517772 + ... + 5517812.

It is an arithmetic number, because the mean of its divisors is an integer number (1960686).

Almost surely, 2226229472 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 226229472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423508176).

226229472 is an abundant number, since it is smaller than the sum of its proper divisors (620786880).

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

226229472 is a wasteful number, since it uses less digits than its factorization.

226229472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 226229472 is about 15040.9265672032. The cubic root of 226229472 is about 609.3260244032.

The spelling of 226229472 in words is "two hundred twenty-six million, two hundred twenty-nine thousand, four hundred seventy-two".