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226624424 = 231315114431
BaseRepresentation
bin11011000001000…
…00001110101000
3120210102201021012
431200200032220
5431003440144
634253203052
75421163415
oct1540401650
9523381235
10226624424
11106a18314
1263a90488
1337c499c0
142215310c
1514d67e9e
hexd8203a8

226624424 has 32 divisors (see below), whose sum is σ = 460669440. Its totient is φ = 103896000.

The previous prime is 226624423. The next prime is 226624429. The reversal of 226624424 is 424426622.

226624424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (226624423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8489 + ... + 22919.

It is an arithmetic number, because the mean of its divisors is an integer number (14395920).

Almost surely, 2226624424 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 226624424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230334720).

226624424 is an abundant number, since it is smaller than the sum of its proper divisors (234045016).

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

226624424 is a wasteful number, since it uses less digits than its factorization.

226624424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14601 (or 14597 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 226624424 is about 15054.0500862725. The cubic root of 226624424 is about 609.6804059086.

The spelling of 226624424 in words is "two hundred twenty-six million, six hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 151 302 604 1208 1963 3926 7852 14431 15704 28862 57724 115448 187603 375206 750412 1500824 2179081 4358162 8716324 17432648 28328053 56656106 113312212 226624424