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226642944 = 21031119353
BaseRepresentation
bin11011000001001…
…00110000000000
3120210110122200010
431200210300000
5431010033234
634253424520
75421301413
oct1540446000
9523418603
10226642944
11106a30220
1263a9b140
1337c55268
1422159b7a
1514d6d6e9
hexd824c00

226642944 has 176 divisors, whose sum is σ = 695652480. Its totient is φ = 64880640.

The previous prime is 226642921. The next prime is 226642973. The reversal of 226642944 is 449246622.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641872 + ... + 642224.

Almost surely, 2226642944 is an apocalyptic number.

226642944 is a gapful number since it is divisible by the number (24) 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 226642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347826240).

226642944 is an abundant number, since it is smaller than the sum of its proper divisors (469009536).

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

226642944 is a wasteful number, since it uses less digits than its factorization.

226642944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 388 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 226642944 is about 15054.6651905647. The cubic root of 226642944 is about 609.6970133765.

The spelling of 226642944 in words is "two hundred twenty-six million, six hundred forty-two thousand, nine hundred forty-four".