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233020331020 = 225232714314337
BaseRepresentation
bin1101100100000100011…
…0000001010000001100
3211021110120212022010101
43121001012001100030
512304211201043040
6255014214220444
722556314063441
oct3310106012014
9737416768111
10233020331020
118a9069a1674
12391b2054724
1318c87366799
14b3c77059c8
1560dc30b09a
hex364118140c

233020331020 has 96 divisors (see below), whose sum is σ = 513810210816. Its totient is φ = 88600089600.

The previous prime is 233020330967. The next prime is 233020331023. The reversal of 233020331020 is 20133020332.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (233020331023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53726292 + ... + 53730628.

It is an arithmetic number, because the mean of its divisors is an integer number (5352189696).

Almost surely, 2233020331020 is an apocalyptic number.

233020331020 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 233020331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256905105408).

233020331020 is an abundant number, since it is smaller than the sum of its proper divisors (280789879796).

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

233020331020 is a wasteful number, since it uses less digits than its factorization.

233020331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5071 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 233020331020 its reverse (20133020332), we get a palindrome (253153351352).

The spelling of 233020331020 in words is "two hundred thirty-three billion, twenty million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 271 431 460 542 862 1084 1355 1724 2155 2710 4310 4337 5420 6233 8620 8674 9913 12466 17348 19826 21685 24932 31165 39652 43370 49565 62330 86740 99130 99751 116801 124660 198260 199502 233602 399004 467204 498755 584005 997510 1168010 1175327 1869247 1995020 2336020 2350654 2686423 3738494 4701308 5372846 5876635 7476988 9346235 10745692 11753270 13432115 18692470 23506540 26864230 27032521 37384940 42992681 53728460 54065042 85985362 108130084 135162605 171970724 214963405 270325210 429926810 506565937 540650420 859853620 1013131874 2026263748 2532829685 5065659370 10131318740 11651016551 23302033102 46604066204 58255082755 116510165510 233020331020