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228923496 = 2336172309
BaseRepresentation
bin11011010010100…
…01100001101000
3120221202112000000
431221101201220
5432101022441
634414343000
75446550304
oct1551214150
9527675000
10228923496
1110824867a
12647baa60
13385732b9
1422590d04
151516e2b6
hexda51868

228923496 has 112 divisors (see below), whose sum is σ = 681704100. Its totient is φ = 71788032.

The previous prime is 228923491. The next prime is 228923503. The reversal of 228923496 is 694329822.

It can be written as a sum of positive squares in 2 ways, for example, as 204776100 + 24147396 = 14310^2 + 4914^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (228923491) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 97990 + ... + 100298.

Almost surely, 2228923496 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 228923496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340852050).

228923496 is an abundant number, since it is smaller than the sum of its proper divisors (452780604).

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

228923496 is a wasteful number, since it uses less digits than its factorization.

228923496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2331 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 228923496 is about 15130.2179759579. The cubic root of 228923496 is about 611.7351795429.

The spelling of 228923496 in words is "two hundred twenty-eight million, nine hundred twenty-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 729 918 972 1224 1377 1458 1836 1944 2309 2754 2916 3672 4131 4618 5508 5832 6927 8262 9236 11016 12393 13854 16524 18472 20781 24786 27708 33048 39253 41562 49572 55416 62343 78506 83124 99144 117759 124686 157012 166248 187029 235518 249372 314024 353277 374058 471036 498744 561087 706554 748116 942072 1059831 1122174 1413108 1496232 1683261 2119662 2244348 2826216 3179493 3366522 4239324 4488696 6358986 6733044 8478648 9538479 12717972 13466088 19076958 25435944 28615437 38153916 57230874 76307832 114461748 228923496