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33212225004240 = 2435433218238857
BaseRepresentation
bin1111000110100110100101…
…10111111010001011010000
311100121001120001202021120110
413203103102313322023100
513323122114100113430
6154345252513041320
76665334616412142
oct743232267721320
9140531501667513
1033212225004240
11a6452531a0617
123884902b56240
13156bb8cc23229
1482b6a1bd2c92
153c8dd5d5a7b0
hex1e34d2dfa2d0

33212225004240 has 80 divisors (see below), whose sum is σ = 105352267255488. Its totient is φ = 8650626044928.

The previous prime is 33212225004221. The next prime is 33212225004253. The reversal of 33212225004240 is 4240052221233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×332122250042402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33212225004198 and 33212225004207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1609109109 + ... + 1609129748.

Almost surely, 233212225004240 is an apocalyptic number.

33212225004240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33212225004240 is an abundant number, since it is smaller than the sum of its proper divisors (72140042251248).

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

33212225004240 is a wasteful number, since it uses less digits than its factorization.

33212225004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218238916 (or 3218238910 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 33212225004240 its reverse (4240052221233), we get a palindrome (37452277225473).

The spelling of 33212225004240 in words is "thirty-three trillion, two hundred twelve billion, two hundred twenty-five million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 5160 10320 3218238857 6436477714 9654716571 12872955428 16091194285 19309433142 25745910856 32182388570 38618866284 48273582855 51491821712 64364777140 77237732568 96547165710 128729554280 138384270851 154475465136 193094331420 257459108560 276768541702 386188662840 415152812553 553537083404 691921354255 772377325680 830305625106 1107074166808 1383842708510 1660611250212 2075764062765 2214148333616 2767685417020 3321222500424 4151528125530 5535370834040 6642445000848 8303056251060 11070741668080 16606112502120 33212225004240