Search a number
-
+
33100812 = 2234192283
BaseRepresentation
bin111111001000…
…1010000001100
32022021200210000
41332101100030
531433211222
63141244300
7551231553
oct176212014
968250700
1033100812
1117759148
12b103690
136b1c4a4
144578d9a
152d8c9ac
hex1f9140c

33100812 has 90 divisors (see below), whose sum is σ = 91648788. Its totient is φ = 10415952.

The previous prime is 33100811. The next prime is 33100813. The reversal of 33100812 is 21800133.

It is an interprime number because it is at equal distance from previous prime (33100811) and next prime (33100813).

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

It is not an unprimeable number, because it can be changed into a prime (33100811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 116823 + ... + 117105.

Almost surely, 233100812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33100812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45824394).

33100812 is an abundant number, since it is smaller than the sum of its proper divisors (58547976).

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

33100812 is a wasteful number, since it uses less digits than its factorization.

33100812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 33100812 is about 5753.3305137112. The cubic root of 33100812 is about 321.0797251533.

Adding to 33100812 its reverse (21800133), we get a palindrome (54900945).

The spelling of 33100812 in words is "thirty-three million, one hundred thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 283 324 342 361 513 566 684 722 849 1026 1083 1132 1444 1539 1698 2052 2166 2547 3078 3249 3396 4332 5094 5377 6156 6498 7641 9747 10188 10754 12996 15282 16131 19494 21508 22923 29241 30564 32262 38988 45846 48393 58482 64524 91692 96786 102163 116964 145179 193572 204326 290358 306489 408652 435537 580716 612978 871074 919467 1225956 1742148 1838934 2758401 3677868 5516802 8275203 11033604 16550406 33100812