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2023257712 = 247192163307
BaseRepresentation
bin111100010011000…
…0111011001110000
312020000010010210211
41320212013121300
513120423221322
6532433233504
7101065256350
oct17046073160
95200103724
102023257712
11949092513
12485702894
1326322b518
141529d0b60
15bc958b77
hex78987670

2023257712 has 120 divisors (see below), whose sum is σ = 4772777856. Its totient is φ = 813773952.

The previous prime is 2023257683. The next prime is 2023257713. The reversal of 2023257712 is 2177523202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023257713) 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, 6590263 + ... + 6590569.

Almost surely, 22023257712 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 2023257712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386388928).

2023257712 is an abundant number, since it is smaller than the sum of its proper divisors (2749520144).

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

2023257712 is a wasteful number, since it uses less digits than its factorization.

2023257712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 2023257712 is about 44980.6370786364. The cubic root of 2023257712 is about 1264.7860536906.

The spelling of 2023257712 in words is "two billion, twenty-three million, two hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 163 266 304 307 326 361 532 614 652 722 1064 1141 1228 1304 1444 2128 2149 2282 2456 2527 2608 2888 3097 4298 4564 4912 5054 5776 5833 6194 8596 9128 10108 11666 12388 17192 18256 20216 21679 23332 24776 34384 40432 40831 43358 46664 49552 50041 58843 81662 86716 93328 100082 110827 117686 163324 173432 200164 221654 235372 326648 346864 350287 400328 411901 443308 470744 653296 700574 775789 800656 823802 886616 941488 950779 1401148 1551578 1647604 1773232 1901558 2802296 3103156 3295208 3803116 5604592 6206312 6590416 6655453 7606232 12412624 13310906 15212464 18064801 26621812 36129602 53243624 72259204 106487248 126453607 144518408 252907214 289036816 505814428 1011628856 2023257712