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20230330032 = 24321150325391
BaseRepresentation
bin10010110101110100…
…100101011010110000
31221012212221020122200
4102311310211122300
5312412431030112
613143234103200
71314216653013
oct226564453260
957185836580
1020230330032
118641548420
123b0711ab00
131ba53211b3
14d9cb2137a
157d60b6cdc
hex4b5d256b0

20230330032 has 120 divisors (see below), whose sum is σ = 61889038848. Its totient is φ = 6117974400.

The previous prime is 20230330027. The next prime is 20230330037. The reversal of 20230330032 is 23003303202.

It is an interprime number because it is at equal distance from previous prime (20230330027) and next prime (20230330037).

It is a super-2 number, since 2×202303300322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20230329987 and 20230330014.

It is not an unprimeable number, because it can be changed into a prime (20230330037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784057 + ... + 809447.

Almost surely, 220230330032 is an apocalyptic number.

20230330032 is a gapful number since it is divisible by the number (22) 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 20230330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30944519424).

20230330032 is an abundant number, since it is smaller than the sum of its proper divisors (41658708816).

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

20230330032 is a wasteful number, since it uses less digits than its factorization.

20230330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25919 (or 25910 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 20230330032 its reverse (23003303202), we get a palindrome (43233633234).

The spelling of 20230330032 in words is "twenty billion, two hundred thirty million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 503 528 792 1006 1509 1584 2012 3018 4024 4527 5533 6036 8048 9054 11066 12072 16599 18108 22132 24144 25391 33198 36216 44264 49797 50782 66396 72432 76173 88528 99594 101564 132792 152346 199188 203128 228519 265584 279301 304692 398376 406256 457038 558602 609384 796752 837903 914076 1117204 1218768 1675806 1828152 2234408 2513709 3351612 3656304 4468816 5027418 6703224 10054836 12771673 13406448 20109672 25543346 38315019 40219344 51086692 76630038 102173384 114945057 140488403 153260076 204346768 229890114 280976806 306520152 421465209 459780228 561953612 613040304 842930418 919560456 1123907224 1264395627 1685860836 1839120912 2247814448 2528791254 3371721672 5057582508 6743443344 10115165016 20230330032