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226123296 = 2537973469
BaseRepresentation
bin11010111101001…
…01111000100000
3120202111020211220
431132211320200
5430341421141
634234335040
75414005410
oct1536457040
9522436756
10226123296
11106705863
126388a480
1337b02889
1422062640
1514cb9766
hexd7a5e20

226123296 has 96 divisors (see below), whose sum is σ = 685560960. Its totient is φ = 63922176.

The previous prime is 226123277. The next prime is 226123301. The reversal of 226123296 is 692321622.

226123296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2261232962 = 102263489987807232, which contains 22 as substring.

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, 63450 + ... + 66918.

It is an arithmetic number, because the mean of its divisors is an integer number (7141260).

Almost surely, 2226123296 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 226123296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342780480).

226123296 is an abundant number, since it is smaller than the sum of its proper divisors (459437664).

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

226123296 is a wasteful number, since it uses less digits than its factorization.

226123296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3578 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 226123296 is about 15037.3965831855. The cubic root of 226123296 is about 609.2306847417.

The spelling of 226123296 in words is "two hundred twenty-six million, one hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 97 112 168 194 224 291 336 388 582 672 679 776 1164 1358 1552 2037 2328 2716 3104 3469 4074 4656 5432 6938 8148 9312 10407 10864 13876 16296 20814 21728 24283 27752 32592 41628 48566 55504 65184 72849 83256 97132 111008 145698 166512 194264 291396 333024 336493 388528 582792 672986 777056 1009479 1165584 1345972 2018958 2331168 2355451 2691944 4037916 4710902 5383888 7066353 8075832 9421804 10767776 14132706 16151664 18843608 28265412 32303328 37687216 56530824 75374432 113061648 226123296