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226950816 = 25317592357
BaseRepresentation
bin11011000011011…
…11111010100000
3120211001021222210
431201233322200
5431044411231
634304202120
75424023121
oct1541577240
9524037883
10226950816
11107120564
1264009340
1338032431
14221da048
1514dcea46
hexd86fea0

226950816 has 96 divisors (see below), whose sum is σ = 641753280. Its totient is φ = 69963776.

The previous prime is 226950797. The next prime is 226950817. The reversal of 226950816 is 618059622.

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

It is not an unprimeable number, because it can be changed into a prime (226950817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95110 + ... + 97466.

It is an arithmetic number, because the mean of its divisors is an integer number (6684930).

Almost surely, 2226950816 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 226950816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320876640).

226950816 is an abundant number, since it is smaller than the sum of its proper divisors (414802464).

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

226950816 is a wasteful number, since it uses less digits than its factorization.

226950816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 226950816 is about 15064.8868565283. The cubic root of 226950816 is about 609.9729594750.

The spelling of 226950816 in words is "two hundred twenty-six million, nine hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 68 96 102 118 136 177 204 236 272 354 408 472 544 708 816 944 1003 1416 1632 1888 2006 2357 2832 3009 4012 4714 5664 6018 7071 8024 9428 12036 14142 16048 18856 24072 28284 32096 37712 40069 48144 56568 75424 80138 96288 113136 120207 139063 160276 226272 240414 278126 320552 417189 480828 556252 641104 834378 961656 1112504 1282208 1668756 1923312 2225008 2364071 3337512 3846624 4450016 4728142 6675024 7092213 9456284 13350048 14184426 18912568 28368852 37825136 56737704 75650272 113475408 226950816