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33220000 = 255411151
BaseRepresentation
bin111111010111…
…0010110100000
32022111202021101
41332232112200
532001020000
63144004144
7552236212
oct176562640
968452241
1033220000
111782a750
12b160654
136b61808
1445aa5b2
152db2e6a
hex1fae5a0

33220000 has 120 divisors (see below), whose sum is σ = 89746272. Its totient is φ = 12000000.

The previous prime is 33219983. The next prime is 33220001. The reversal of 33220000 is 2233.

It is a super-2 number, since 2×332200002 = 2207136800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (33220001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219925 + ... + 220075.

Almost surely, 233220000 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 33220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44873136).

33220000 is an abundant number, since it is smaller than the sum of its proper divisors (56526272).

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

33220000 is a wasteful number, since it uses less digits than its factorization.

33220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 33220000 is about 5763.6793803958. The cubic root of 33220000 is about 321.4646402793.

Adding to 33220000 its reverse (2233), we get a palindrome (33222233).

The spelling of 33220000 in words is "thirty-three million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 151 160 176 200 220 250 275 302 352 400 440 500 550 604 625 755 800 880 1000 1100 1208 1250 1375 1510 1661 1760 2000 2200 2416 2500 2750 3020 3322 3775 4000 4400 4832 5000 5500 6040 6644 6875 7550 8305 8800 10000 11000 12080 13288 13750 15100 16610 18875 20000 22000 24160 26576 27500 30200 33220 37750 41525 44000 53152 55000 60400 66440 75500 83050 94375 110000 120800 132880 151000 166100 188750 207625 220000 265760 302000 332200 377500 415250 604000 664400 755000 830500 1038125 1328800 1510000 1661000 2076250 3020000 3322000 4152500 6644000 8305000 16610000 33220000