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33225472 = 28718541
BaseRepresentation
bin111111010111…
…1101100000000
32022112000210001
41332233230000
532001203342
63144045344
7552261160
oct176575400
968460701
1033225472
1117833875
12b163854
136b64157
1445ac5a0
152db48b7
hex1fafb00

33225472 has 36 divisors (see below), whose sum is σ = 75799696. Its totient is φ = 14238720.

The previous prime is 33225469. The next prime is 33225473. The reversal of 33225472 is 27452233.

It is a super-3 number, since 3×332254723 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 33225472.

It is not an unprimeable number, because it can be changed into a prime (33225473) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7479 + ... + 11062.

Almost surely, 233225472 is an apocalyptic number.

33225472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33225472 is an abundant number, since it is smaller than the sum of its proper divisors (42574224).

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

33225472 is an equidigital number, since it uses as much as digits as its factorization.

33225472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18564 (or 18550 counting only the distinct ones).

The product of its digits is 10080, while the sum is 28.

The square root of 33225472 is about 5764.1540576220. The cubic root of 33225472 is about 321.4822898672.

The spelling of 33225472 in words is "thirty-three million, two hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 18541 37082 74164 129787 148328 259574 296656 519148 593312 1038296 1186624 2076592 2373248 4153184 4746496 8306368 16612736 33225472