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33290140 = 22513612099
BaseRepresentation
bin111111011111…
…1011110011100
32022122022111011
41332333132130
532010241030
63145305004
7552650542
oct176773634
968568434
1033290140
1117878414
12b195164
136b87710
1445c7d92
152dc8b2a
hex1fbf79c

33290140 has 48 divisors (see below), whose sum is σ = 76557600. Its totient is φ = 12084480.

The previous prime is 33290119. The next prime is 33290141. The reversal of 33290140 is 4109233.

It is a super-2 number, since 2×332901402 = 2216466842439200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33290141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14811 + ... + 16909.

It is an arithmetic number, because the mean of its divisors is an integer number (1594950).

Almost surely, 233290140 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 33290140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38278800).

33290140 is an abundant number, since it is smaller than the sum of its proper divisors (43267460).

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

33290140 is a wasteful number, since it uses less digits than its factorization.

33290140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 33290140 is about 5769.7608269321. The cubic root of 33290140 is about 321.6907257666.

Adding to 33290140 its reverse (4109233), we get a palindrome (37399373).

The spelling of 33290140 in words is "thirty-three million, two hundred ninety thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 244 260 305 610 793 1220 1586 2099 3172 3965 4198 7930 8396 10495 15860 20990 27287 41980 54574 109148 128039 136435 256078 272870 512156 545740 640195 1280390 1664507 2560780 3329014 6658028 8322535 16645070 33290140