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33225500 = 2253711863
BaseRepresentation
bin111111010111…
…1101100011100
32022112000211002
41332233230130
532001204000
63144045432
7552261230
oct176575434
968460732
1033225500
11178338a0
12b163878
136b64179
1445ac5c0
152db48d5
hex1fafb1c

33225500 has 96 divisors (see below), whose sum is σ = 90574848. Its totient is φ = 10344000.

The previous prime is 33225499. The next prime is 33225527. The reversal of 33225500 is 552233.

It is a super-2 number, since 2×332255002 = 2207867700500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38069 + ... + 38931.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 233225500 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 33225500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424).

33225500 is an abundant number, since it is smaller than the sum of its proper divisors (57349348).

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

33225500 is a wasteful number, since it uses less digits than its factorization.

33225500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 33225500 is about 5764.1564864254. The cubic root of 33225500 is about 321.4823801745.

Adding to 33225500 its reverse (552233), we get a palindrome (33777733).

The spelling of 33225500 in words is "thirty-three million, two hundred twenty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 125 140 154 175 220 250 275 308 350 385 500 550 700 770 863 875 1100 1375 1540 1726 1750 1925 2750 3452 3500 3850 4315 5500 6041 7700 8630 9493 9625 12082 17260 18986 19250 21575 24164 30205 37972 38500 43150 47465 60410 66451 86300 94930 107875 120820 132902 151025 189860 215750 237325 265804 302050 332255 431500 474650 604100 664510 755125 949300 1186625 1329020 1510250 1661275 2373250 3020500 3322550 4746500 6645100 8306375 16612750 33225500