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3223333296 = 2432296471193
BaseRepresentation
bin1100000000100000…
…0010100110110000
322022122021022000200
43000020002212300
523100133131141
61251503115200
7142606611111
oct30010024660
98278238020
103223333296
111404540017
1275b5a2b00
133c4a4b211
14228140208
1513ceabab6
hexc02029b0

3223333296 has 120 divisors (see below), whose sum is σ = 9354178080. Its totient is φ = 1034923008.

The previous prime is 3223333247. The next prime is 3223333319. The reversal of 3223333296 is 6923333223.

3223333296 is a `hidden beast` number, since 3 + 2 + 233 + 332 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3223333296.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2701276 + ... + 2702468.

It is an arithmetic number, because the mean of its divisors is an integer number (77951484).

Almost surely, 23223333296 is an apocalyptic number.

3223333296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223333296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4677089040).

3223333296 is an abundant number, since it is smaller than the sum of its proper divisors (6130844784).

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

3223333296 is a wasteful number, since it uses less digits than its factorization.

3223333296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1874 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The square root of 3223333296 is about 56774.4070510648. The cubic root of 3223333296 is about 1477.1856206241.

The spelling of 3223333296 in words is "three billion, two hundred twenty-three million, three hundred thirty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 647 696 1044 1193 1294 1392 1941 2088 2386 2588 3579 3882 4176 4772 5176 5823 7158 7764 9544 10352 10737 11646 14316 15528 18763 19088 21474 23292 28632 31056 34597 37526 42948 46584 56289 57264 69194 75052 85896 93168 103791 112578 138388 150104 168867 171792 207582 225156 276776 300208 311373 337734 415164 450312 553552 622746 675468 771871 830328 900624 1245492 1350936 1543742 1660656 2315613 2490984 2701872 3087484 4631226 4981968 6174968 6946839 9262452 12349936 13893678 18524904 22384259 27787356 37049808 44768518 55574712 67152777 89537036 111149424 134305554 179074072 201458331 268611108 358148144 402916662 537222216 805833324 1074444432 1611666648 3223333296