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228033696 = 25311267293
BaseRepresentation
bin11011001011110…
…00010010100000
3120220002022102110
431211320102200
5431334034241
634343315320
75436153162
oct1545702240
9526068373
10228033696
111077a0100
126444bb40
13383212a7
14223dc932
1515045816
hexd9784a0

228033696 has 144 divisors (see below), whose sum is σ = 670051872. Its totient is φ = 67837440.

The previous prime is 228033691. The next prime is 228033703. The reversal of 228033696 is 696330822.

It is a super-2 number, since 2×2280336962 = 103998733022840832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (228033691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778126 + ... + 778418.

It is an arithmetic number, because the mean of its divisors is an integer number (4653138).

Almost surely, 2228033696 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 228033696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335025936).

228033696 is an abundant number, since it is smaller than the sum of its proper divisors (442018176).

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

228033696 is a wasteful number, since it uses less digits than its factorization.

228033696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 228033696 is about 15100.7846153768. The cubic root of 228033696 is about 610.9415683749.

The spelling of 228033696 in words is "two hundred twenty-eight million, thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 121 132 134 176 201 242 264 268 293 352 363 402 484 528 536 586 726 737 804 879 968 1056 1072 1172 1452 1474 1608 1758 1936 2144 2211 2344 2904 2948 3216 3223 3516 3872 4422 4688 5808 5896 6432 6446 7032 8107 8844 9376 9669 11616 11792 12892 14064 16214 17688 19338 19631 23584 24321 25784 28128 32428 35376 35453 38676 39262 48642 51568 58893 64856 70752 70906 77352 78524 97284 103136 106359 117786 129712 141812 154704 157048 194568 212718 215941 235572 259424 283624 309408 314096 389136 425436 431882 471144 567248 628192 647823 778272 850872 863764 942288 1134496 1295646 1701744 1727528 1884576 2375351 2591292 3403488 3455056 4750702 5182584 6910112 7126053 9501404 10365168 14252106 19002808 20730336 28504212 38005616 57008424 76011232 114016848 228033696