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20231223000 = 2335350913249
BaseRepresentation
bin10010110101110111…
…111111011011011000
31221012221121121120120
4102311313333123120
5312413143114000
613143305153240
71314230362302
oct226567773330
957187547516
1020231223000
118641aa830a
123b0748b820
131ba5574791
14d9ccb4972
157d61e16a0
hex4b5dff6d8

20231223000 has 128 divisors (see below), whose sum is σ = 63250200000. Its totient is φ = 5383987200.

The previous prime is 20231222989. The next prime is 20231223011. The reversal of 20231223000 is 32213202.

It is an interprime number because it is at equal distance from previous prime (20231222989) and next prime (20231223011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1520376 + ... + 1533624.

Almost surely, 220231223000 is an apocalyptic number.

20231223000 is a gapful number since it is divisible by the number (20) 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 20231223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31625100000).

20231223000 is an abundant number, since it is smaller than the sum of its proper divisors (43018977000).

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

20231223000 is a wasteful number, since it uses less digits than its factorization.

20231223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13782 (or 13768 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20231223000 its reverse (32213202), we get a palindrome (20263436202).

The spelling of 20231223000 in words is "twenty billion, two hundred thirty-one million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 509 600 750 1000 1018 1500 1527 2036 2545 3000 3054 4072 5090 6108 7635 10180 12216 12725 13249 15270 20360 25450 26498 30540 38175 39747 50900 52996 61080 63625 66245 76350 79494 101800 105992 127250 132490 152700 158988 190875 198735 254500 264980 305400 317976 331225 381750 397470 509000 529960 662450 763500 794940 993675 1324900 1527000 1589880 1656125 1987350 2649800 3312250 3974700 4968375 6624500 6743741 7949400 9936750 13249000 13487482 19873500 20231223 26974964 33718705 39747000 40462446 53949928 67437410 80924892 101156115 134874820 161849784 168593525 202312230 269749640 337187050 404624460 505780575 674374100 809248920 842967625 1011561150 1348748200 1685935250 2023122300 2528902875 3371870500 4046244600 5057805750 6743741000 10115611500 20231223000