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200817228 = 223293471663
BaseRepresentation
bin10111111100000…
…11101001001100
3111222212120110010
423332003221030
5402402122403
631532113220
74655626653
oct1376035114
9458776403
10200817228
11a33a0a57
1257305810
13327b2281
141c95619a
151296b603
hexbf83a4c

200817228 has 48 divisors (see below), whose sum is σ = 486420480. Its totient is φ = 64405824.

The previous prime is 200817223. The next prime is 200817263. The reversal of 200817228 is 822718002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200817195 and 200817204.

It is not an unprimeable number, because it can be changed into a prime (200817223) 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, 119925 + ... + 121587.

It is an arithmetic number, because the mean of its divisors is an integer number (10133760).

Almost surely, 2200817228 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 200817228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243210240).

200817228 is an abundant number, since it is smaller than the sum of its proper divisors (285603252).

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

200817228 is a wasteful number, since it uses less digits than its factorization.

200817228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 200817228 is about 14170.9995413168. Note that the first 3 decimals coincide. The cubic root of 200817228 is about 585.5989949108.

The spelling of 200817228 in words is "two hundred million, eight hundred seventeen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 347 348 694 1041 1388 1663 2082 3326 4164 4989 6652 9978 10063 19956 20126 30189 40252 48227 60378 96454 120756 144681 192908 289362 577061 578724 1154122 1731183 2308244 3462366 6924732 16734769 33469538 50204307 66939076 100408614 200817228