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33212213000 = 2353123726849
BaseRepresentation
bin11110111011100110…
…100010011100001000
310011201121122020012222
4132323212202130020
51021004311304000
623131340553212
72254013103221
oct367346423410
9104647566188
1033212213000
11130a347921a
12652a852808
133193a1b855
141870cd2248
15ce5b3aa85
hex7bb9a2708

33212213000 has 64 divisors (see below), whose sum is σ = 77782302000. Its totient is φ = 13273651200.

The previous prime is 33212212991. The next prime is 33212213017. The reversal of 33212213000 is 31221233.

It can be written as a sum of positive squares in 8 ways, for example, as 1264940356 + 31947272644 = 35566^2 + 178738^2 .

It is a super-2 number, since 2×332122130002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33212213000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223576 + ... + 1250424.

Almost surely, 233212213000 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 33212213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38891151000).

33212213000 is an abundant number, since it is smaller than the sum of its proper divisors (44570089000).

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

33212213000 is a wasteful number, since it uses less digits than its factorization.

33212213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28107 (or 28093 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 33212213000 its reverse (31221233), we get a palindrome (33243434233).

The spelling of 33212213000 in words is "thirty-three billion, two hundred twelve million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1237 2474 4948 6185 9896 12370 24740 26849 30925 49480 53698 61850 107396 123700 134245 154625 214792 247400 268490 309250 536980 618500 671225 1073960 1237000 1342450 2684900 3356125 5369800 6712250 13424500 26849000 33212213 66424426 132848852 166061065 265697704 332122130 664244260 830305325 1328488520 1660610650 3321221300 4151526625 6642442600 8303053250 16606106500 33212213000