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33214428 = 22331341577
BaseRepresentation
bin111111010110…
…0111111011100
32022111110122000
41332230333130
532000330203
63143522300
7552214032
oct176547734
968443560
1033214428
1117826545
12b159390
136b5c110
1445a8552
152db14a3
hex1facfdc

33214428 has 96 divisors (see below), whose sum is σ = 95161920. Its totient is φ = 9953280.

The previous prime is 33214427. The next prime is 33214453. The reversal of 33214428 is 82441233.

It is a super-2 number, since 2×332144282 = 2206396454734368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33214421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57276 + ... + 57852.

It is an arithmetic number, because the mean of its divisors is an integer number (991270).

Almost surely, 233214428 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 33214428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47580960).

33214428 is an abundant number, since it is smaller than the sum of its proper divisors (61947492).

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

33214428 is a wasteful number, since it uses less digits than its factorization.

33214428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 33214428 is about 5763.1959883384. The cubic root of 33214428 is about 321.4466661559.

The spelling of 33214428 in words is "thirty-three million, two hundred fourteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 82 108 117 123 156 164 234 246 351 369 468 492 533 577 702 738 1066 1107 1154 1404 1476 1599 1731 2132 2214 2308 3198 3462 4428 4797 5193 6396 6924 7501 9594 10386 14391 15002 15579 19188 20772 22503 23657 28782 30004 31158 45006 47314 57564 62316 67509 70971 90012 94628 135018 141942 202527 212913 270036 283884 307541 405054 425826 615082 638739 810108 851652 922623 1230164 1277478 1845246 2554956 2767869 3690492 5535738 8303607 11071476 16607214 33214428