Search a number
-
+
332212220120 = 235111933912061
BaseRepresentation
bin1001101010110010110…
…01000011000011011000
31011202111102220100121202
410311121121003003120
520420332312020440
6412341032453332
733000346164464
oct4653131030330
91152442810552
10332212220120
11118988157020
125447524a248
13254346135a1
14121172c94a4
15899561a615
hex4d596430d8

332212220120 has 64 divisors (see below), whose sum is σ = 819655230240. Its totient is φ = 120178483200.

The previous prime is 332212220107. The next prime is 332212220143. The reversal of 332212220120 is 21022212233.

It is a happy number.

It is a super-2 number, since 2×3322122201202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 332212220092 and 332212220101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1871111 + ... + 2040950.

Almost surely, 2332212220120 is an apocalyptic number.

It is an amenable number.

332212220120 is an abundant number, since it is smaller than the sum of its proper divisors (487443010120).

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

332212220120 is a wasteful number, since it uses less digits than its factorization.

332212220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912276 (or 3912272 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 332212220120 its reverse (21022212233), we get a palindrome (353234432353).

The spelling of 332212220120 in words is "three hundred thirty-two billion, two hundred twelve million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 193 220 386 440 772 965 1544 1930 2123 3860 4246 7720 8492 10615 16984 21230 42460 84920 3912061 7824122 15648244 19560305 31296488 39120610 43032671 78241220 86065342 156482440 172130684 215163355 344261368 430326710 755027773 860653420 1510055546 1721306840 3020111092 3775138865 6040222184 7550277730 8305305503 15100555460 16610611006 30201110920 33221222012 41526527515 66442444024 83053055030 166106110060 332212220120