Search a number
-
+
33214020 = 22357312551
BaseRepresentation
bin111111010110…
…0111001000100
32022111110001220
41332230321010
532000322040
63143520340
7552212610
oct176547104
968443056
1033214020
1117826204
12b1590b0
136b5bb88
1445a8340
152db12d0
hex1face44

33214020 has 96 divisors (see below), whose sum is σ = 109756416. Its totient is φ = 7344000.

The previous prime is 33214009. The next prime is 33214057. The reversal of 33214020 is 2041233.

It is a super-2 number, since 2×332140202 = 2206342249120800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11745 + ... + 14295.

It is an arithmetic number, because the mean of its divisors is an integer number (1143296).

Almost surely, 233214020 is an apocalyptic number.

33214020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54878208).

33214020 is an abundant number, since it is smaller than the sum of its proper divisors (76542396).

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

33214020 is a wasteful number, since it uses less digits than its factorization.

33214020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2601 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 33214020 is about 5763.1605912034. The cubic root of 33214020 is about 321.4453499531.

Adding to 33214020 its reverse (2041233), we get a palindrome (35255253).

The spelling of 33214020 in words is "thirty-three million, two hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 372 420 434 465 620 651 868 930 1085 1302 1860 2170 2551 2604 3255 4340 5102 6510 7653 10204 12755 13020 15306 17857 25510 30612 35714 38265 51020 53571 71428 76530 79081 89285 107142 153060 158162 178570 214284 237243 267855 316324 357140 395405 474486 535710 553567 790810 948972 1071420 1107134 1186215 1581620 1660701 2214268 2372430 2767835 3321402 4744860 5535670 6642804 8303505 11071340 16607010 33214020