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33221212020 = 2234520506921
BaseRepresentation
bin11110111100001000…
…110111011101110100
310011202020120102120000
4132330020313131310
51021014112241040
623132301511300
72254152433353
oct367410673564
9104666512500
1033221212020
11130a8565327
126531872530
13319584c909
14187219599a
15ce6817130
hex7bc237774

33221212020 has 60 divisors (see below), whose sum is σ = 104216177604. Its totient is φ = 8858989440.

The previous prime is 33221211943. The next prime is 33221212021. The reversal of 33221212020 is 2021212233.

33221212020 is a `hidden beast` number, since 332 + 212 + 120 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8420631696 + 24800580324 = 91764^2 + 157482^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×332212120202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33221211984 and 33221212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33221212021) 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, 10251841 + ... + 10255080.

Almost surely, 233221212020 is an apocalyptic number.

33221212020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33221212020 is an abundant number, since it is smaller than the sum of its proper divisors (70994965584).

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

33221212020 is a wasteful number, since it uses less digits than its factorization.

33221212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20506942 (or 20506931 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33221212020 its reverse (2021212233), we get a palindrome (35242424253).

The spelling of 33221212020 in words is "thirty-three billion, two hundred twenty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 20506921 41013842 61520763 82027684 102534605 123041526 184562289 205069210 246083052 307603815 369124578 410138420 553686867 615207630 738249156 922811445 1107373734 1230415260 1661060601 1845622890 2214747468 2768434335 3322121202 3691245780 5536868670 6644242404 8305303005 11073737340 16610606010 33221212020