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226694272 = 2771132239
BaseRepresentation
bin11011000001100…
…01010010000000
3120210120021002011
431200301102000
5431013204042
634254502304
75421604150
oct1540612200
9523507064
10226694272
11106a65842
1263b04994
1337c7272c
1422170760
1514d7da17
hexd831480

226694272 has 64 divisors (see below), whose sum is σ = 520934400. Its totient is φ = 96251904.

The previous prime is 226694261. The next prime is 226694309. The reversal of 226694272 is 272496622.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100129 + ... + 102367.

It is an arithmetic number, because the mean of its divisors is an integer number (8139600).

Almost surely, 2226694272 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 226694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260467200).

226694272 is an abundant number, since it is smaller than the sum of its proper divisors (294240128).

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

226694272 is a wasteful number, since it uses less digits than its factorization.

226694272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2361 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 226694272 is about 15056.3698147993. The cubic root of 226694272 is about 609.7430360846.

The spelling of 226694272 in words is "two hundred twenty-six million, six hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 448 452 791 896 904 1582 1808 2239 3164 3616 4478 6328 7232 8956 12656 14464 15673 17912 25312 31346 35824 50624 62692 71648 101248 125384 143296 250768 253007 286592 501536 506014 1003072 1012028 1771049 2006144 2024056 3542098 4048112 7084196 8096224 14168392 16192448 28336784 32384896 56673568 113347136 226694272