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233230212020 = 225138910199793
BaseRepresentation
bin1101100100110110011…
…0101001101110110100
3211022000012210100201202
43121031212221232310
512310123413241040
6255051112512032
722564443043421
oct3311546515664
9738005710652
10233230212020
118aa04413343
12392503ab618
1318cbb9a0420
14b40753ad48
156100968015
hex364d9a9bb4

233230212020 has 96 divisors (see below), whose sum is σ = 538672044960. Its totient is φ = 84304281600.

The previous prime is 233230212013. The next prime is 233230212031. The reversal of 233230212020 is 20212032332.

It can be written as a sum of positive squares in 16 ways, for example, as 67960318864 + 165269893156 = 260692^2 + 406534^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 233230211983 and 233230212001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2287244 + ... + 2387036.

It is an arithmetic number, because the mean of its divisors is an integer number (5611167135).

Almost surely, 2233230212020 is an apocalyptic number.

233230212020 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 233230212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269336022480).

233230212020 is an abundant number, since it is smaller than the sum of its proper divisors (305441832940).

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

233230212020 is a wasteful number, since it uses less digits than its factorization.

233230212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100005 (or 100003 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 233230212020 its reverse (20212032332), we get a palindrome (253442244352).

The spelling of 233230212020 in words is "two hundred thirty-three billion, two hundred thirty million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 101 130 178 202 260 356 404 445 505 890 1010 1157 1313 1780 2020 2314 2626 4628 5252 5785 6565 8989 11570 13130 17978 23140 26260 35956 44945 89890 99793 116857 179780 199586 233714 399172 467428 498965 584285 997930 1168570 1297309 1995860 2337140 2594618 5189236 6486545 8881577 10079093 12973090 17763154 20158186 25946180 35526308 40316372 44407885 50395465 88815770 100790930 115460501 131028209 177631540 201581860 230921002 262056418 461842004 524112836 577302505 655141045 897039277 1154605010 1310282090 1794078554 2309210020 2620564180 3588157108 4485196385 8970392770 11661510601 17940785540 23323021202 46646042404 58307553005 116615106010 233230212020