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33132033220 = 225111322351949
BaseRepresentation
bin11110110110110100…
…101011010011000100
310011112000202200020111
4132312310223103010
51020323300030340
623115354242404
72252020431016
oct366664532304
9104460680214
1033132033220
1113062194a40
126507a26404
1331802276b0
1418643c01b6
15cdda9daea
hex7b6d2b4c4

33132033220 has 96 divisors (see below), whose sum is σ = 82109260800. Its totient is φ = 11071157760.

The previous prime is 33132033197. The next prime is 33132033223. The reversal of 33132033220 is 2233023133.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 33132033191 and 33132033200.

It is not an unprimeable number, because it can be changed into a prime (33132033223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 611806 + ... + 663754.

It is an arithmetic number, because the mean of its divisors is an integer number (855304800).

Almost surely, 233132033220 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 33132033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41054630400).

33132033220 is an abundant number, since it is smaller than the sum of its proper divisors (48977227580).

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

33132033220 is a wasteful number, since it uses less digits than its factorization.

33132033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52205 (or 52203 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 33132033220 its reverse (2233023133), we get a palindrome (35365056353).

The spelling of 33132033220 in words is "thirty-three billion, one hundred thirty-two million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 223 260 286 446 572 715 892 1115 1430 2230 2453 2860 2899 4460 4906 5798 9812 11596 12265 14495 24530 28990 31889 49060 51949 57980 63778 103898 127556 159445 207796 259745 318890 519490 571439 637780 675337 1038980 1142878 1350674 2285756 2701348 2857195 3376685 5714390 6753370 7428707 11428780 11584627 13506740 14857414 23169254 29714828 37143535 46338508 57923135 74287070 115846270 127430897 148574140 150600151 231692540 254861794 301200302 509723588 602400604 637154485 753000755 1274308970 1506001510 1656601661 2548617940 3012003020 3313203322 6626406644 8283008305 16566016610 33132033220