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33214104 = 23337111997
BaseRepresentation
bin111111010110…
…0111010011000
32022111110012000
41332230322120
532000322404
63143521000
7552213060
oct176547230
968443160
1033214104
1117826280
12b159160
136b5bc21
1445a83a0
152db1339
hex1face98

33214104 has 128 divisors (see below), whose sum is σ = 115084800. Its totient is φ = 8622720.

The previous prime is 33214099. The next prime is 33214121. The reversal of 33214104 is 40141233.

It is a super-2 number, since 2×332141042 = 2206353409045632, which contains 22 as substring.

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

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, 15634 + ... + 17630.

It is an arithmetic number, because the mean of its divisors is an integer number (899100).

Almost surely, 233214104 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 33214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57542400).

33214104 is an abundant number, since it is smaller than the sum of its proper divisors (81870696).

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

33214104 is a wasteful number, since it uses less digits than its factorization.

33214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33214104 is about 5763.1678788666. The cubic root of 33214104 is about 321.4456209369.

Adding to 33214104 its reverse (40141233), we get a palindrome (73355337).

The spelling of 33214104 in words is "thirty-three million, two hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 1997 2079 2376 2772 3994 4158 5544 5991 7988 8316 11982 13979 15976 16632 17973 21967 23964 27958 35946 41937 43934 47928 53919 55916 65901 71892 83874 87868 107838 111832 125811 131802 143784 153769 167748 175736 197703 215676 251622 263604 307538 335496 377433 395406 431352 461307 503244 527208 593109 615076 754866 790812 922614 1006488 1186218 1230152 1383921 1509732 1581624 1845228 2372436 2767842 3019464 3690456 4151763 4744872 5535684 8303526 11071368 16607052 33214104