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33213114 = 23211434783
BaseRepresentation
bin111111010110…
…0101010111010
32022111101211100
41332230222322
532000304424
63143512230
7552210144
oct176545272
968441740
1033213114
1117825560
12b158676
136b5b63c
1445a7c94
152db0dc9
hex1facaba

33213114 has 96 divisors (see below), whose sum is σ = 83026944. Its totient is φ = 9505440.

The previous prime is 33213107. The next prime is 33213119. The reversal of 33213114 is 41131233.

It is a super-2 number, since 2×332131142 = 2206221883153992, which contains 22 as substring.

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 (33213119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400117 + ... + 400199.

It is an arithmetic number, because the mean of its divisors is an integer number (864864).

Almost surely, 233213114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33213114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41513472).

33213114 is an abundant number, since it is smaller than the sum of its proper divisors (49813830).

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

33213114 is a wasteful number, since it uses less digits than its factorization.

33213114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 189 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 33213114 is about 5763.0819879644. The cubic root of 33213114 is about 321.4424271699.

Adding to 33213114 its reverse (41131233), we get a palindrome (74344347).

The spelling of 33213114 in words is "thirty-three million, two hundred thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 43 47 66 83 86 94 99 129 141 166 198 249 258 282 387 423 473 498 517 747 774 846 913 946 1034 1419 1494 1551 1826 2021 2739 2838 3102 3569 3901 4042 4257 4653 5478 6063 7138 7802 8217 8514 9306 10707 11703 12126 16434 18189 21414 22231 23406 32121 35109 36378 39259 42911 44462 64242 66693 70218 78518 85822 117777 128733 133386 167743 200079 235554 257466 335486 353331 386199 400158 503229 706662 772398 1006458 1509687 1845173 3019374 3690346 5535519 11071038 16606557 33213114