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228623296 = 26113767131
BaseRepresentation
bin11011010000010…
…00001111000000
3120221012021012111
431220020033000
5432011421141
634404105104
75444160136
oct1550101700
9527167174
10228623296
11108063080
1264695194
1338499775
1422513756
1515110381
hexda083c0

228623296 has 112 divisors (see below), whose sum is σ = 519818112. Its totient is φ = 98841600.

The previous prime is 228623287. The next prime is 228623299. The reversal of 228623296 is 692326822.

It is a super-2 number, since 2×2286232962 = 104537222947807232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228623299) 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, 1745151 + ... + 1745281.

Almost surely, 2228623296 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 228623296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259909056).

228623296 is an abundant number, since it is smaller than the sum of its proper divisors (291194816).

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

228623296 is a wasteful number, since it uses less digits than its factorization.

228623296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 248 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 228623296 is about 15120.2941770324. The cubic root of 228623296 is about 611.4676618840.

The spelling of 228623296 in words is "two hundred twenty-eight million, six hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 67 74 88 131 134 148 176 262 268 296 352 407 524 536 592 704 737 814 1048 1072 1184 1441 1474 1628 2096 2144 2368 2479 2882 2948 3256 4192 4288 4847 4958 5764 5896 6512 8384 8777 9694 9916 11528 11792 13024 17554 19388 19832 23056 23584 26048 27269 35108 38776 39664 46112 47168 53317 54538 70216 77552 79328 92224 96547 106634 109076 140432 155104 158656 193094 213268 218152 280864 310208 324749 386188 426536 436304 561728 649498 772376 853072 872608 1298996 1544752 1706144 1745216 2597992 3089504 3412288 3572239 5195984 6179008 7144478 10391968 14288956 20783936 28577912 57155824 114311648 228623296