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33200223030 = 23351343219971
BaseRepresentation
bin11110111010111000…
…110011001100110110
310011200210002002002000
4132322320303030312
51020443224114110
623130232000130
72253506145102
oct367270631466
9104623062060
1033200223030
1113097729a57
126526830046
1331913b12b0
14186d490902
15ce4a6d1c0
hex7bae33336

33200223030 has 128 divisors (see below), whose sum is σ = 97561981440. Its totient is φ = 7982271360.

The previous prime is 33200222963. The next prime is 33200223031. The reversal of 33200223030 is 3032200233.

It is a super-2 number, since 2×332002230302 (a number of 22 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 = 33200222994 and 33200223012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33200223031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40945 + ... + 260915.

It is an arithmetic number, because the mean of its divisors is an integer number (762202980).

Almost surely, 233200223030 is an apocalyptic number.

33200223030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33200223030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48780990720).

33200223030 is an abundant number, since it is smaller than the sum of its proper divisors (64361758410).

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

33200223030 is a wasteful number, since it uses less digits than its factorization.

33200223030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220043 (or 220037 counting only the distinct ones).

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

Adding to 33200223030 its reverse (3032200233), we get a palindrome (36232423263).

The spelling of 33200223030 in words is "thirty-three billion, two hundred million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 78 86 90 117 129 130 135 195 215 234 258 270 351 387 390 430 559 585 645 702 774 1118 1161 1170 1290 1677 1755 1935 2322 2795 3354 3510 3870 5031 5590 5805 8385 10062 11610 15093 16770 25155 30186 50310 75465 150930 219971 439942 659913 1099855 1319826 1979739 2199710 2859623 3299565 3959478 5719246 5939217 6599130 8578869 9458753 9898695 11878434 14298115 17157738 18917506 19797390 25736607 28376259 28596230 29696085 42894345 47293765 51473214 56752518 59392170 77209821 85128777 85788690 94587530 122963789 128683035 141881295 154419642 170257554 245927578 255386331 257366070 283762590 368891367 386049105 425643885 510772662 614818945 737782734 772098210 851287770 1106674101 1229637890 1276931655 1844456835 2213348202 2553863310 3320022303 3688913670 5533370505 6640044606 11066741010 16600111515 33200223030