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33214056 = 23317127641
BaseRepresentation
bin111111010110…
…0111001101000
32022111110010020
41332230321220
532000322211
63143520440
7552212661
oct176547150
968443106
1033214056
1117826237
12b159120
136b5bbb5
1445a8368
152db1306
hex1face68

33214056 has 64 divisors (see below), whose sum is σ = 88750080. Its totient is φ = 10321920.

The previous prime is 33214009. The next prime is 33214057. The reversal of 33214056 is 65041233.

It is a happy number.

It is a super-2 number, since 2×332140562 = 2206347031942272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (33214057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51496 + ... + 52136.

It is an arithmetic number, because the mean of its divisors is an integer number (1386720).

Almost surely, 233214056 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 33214056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44375040).

33214056 is an abundant number, since it is smaller than the sum of its proper divisors (55536024).

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

33214056 is a wasteful number, since it uses less digits than its factorization.

33214056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 33214056 is about 5763.1637144888. The cubic root of 33214056 is about 321.4454660891.

Adding to 33214056 its reverse (65041233), we get a palindrome (98255289).

The spelling of 33214056 in words is "thirty-three million, two hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 127 136 204 254 381 408 508 641 762 1016 1282 1524 1923 2159 2564 3048 3846 4318 5128 6477 7692 8636 10897 12954 15384 17272 21794 25908 32691 43588 51816 65382 81407 87176 130764 162814 244221 261528 325628 488442 651256 976884 1383919 1953768 2767838 4151757 5535676 8303514 11071352 16607028 33214056