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33220013220 = 2234520506181
BaseRepresentation
bin11110111100000100…
…010010110010100100
310011202011022112010000
4132330010102302210
51021013310410340
623132220101300
72254136311332
oct367404226244
9104664275100
1033220013220
11130a7916689
126531394830
133195520074
141871d62b52
15ce667bd30
hex7bc112ca4

33220013220 has 60 divisors (see below), whose sum is σ = 104212416924. Its totient is φ = 8858669760.

The previous prime is 33220013173. The next prime is 33220013227. The reversal of 33220013220 is 2231002233.

It is a happy number.

33220013220 is a `hidden beast` number, since 332 + 200 + 132 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13930136676 + 19289876544 = 118026^2 + 138888^2 .

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

It is a super-2 number, since 2×332200132202 (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 = 33220013193 and 33220013202.

It is not an unprimeable number, because it can be changed into a prime (33220013227) 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, 10251471 + ... + 10254710.

Almost surely, 233220013220 is an apocalyptic number.

33220013220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33220013220 is an abundant number, since it is smaller than the sum of its proper divisors (70992403704).

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

33220013220 is a wasteful number, since it uses less digits than its factorization.

33220013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20506202 (or 20506191 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33220013220 its reverse (2231002233), we get a palindrome (35451015453).

The spelling of 33220013220 in words is "thirty-three billion, two hundred twenty million, thirteen thousand, two hundred 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 20506181 41012362 61518543 82024724 102530905 123037086 184555629 205061810 246074172 307592715 369111258 410123620 553666887 615185430 738222516 922778145 1107333774 1230370860 1661000661 1845556290 2214667548 2768334435 3322001322 3691112580 5536668870 6644002644 8305003305 11073337740 16610006610 33220013220