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22232132120232 = 23325918112889869
BaseRepresentation
bin1010000111000010100100…
…10101100110111010101000
32220201101000111211212121100
411003201102111212322220
510403222401310321412
6115141144524041400
74453134650005536
oct503412225467250
986641014755540
1022232132120232
1170a1659a9a591
1225b08a0093260
13c53633b85268
1456c080485156
152884971c0edc
hex143852566ea8

22232132120232 has 96 divisors (see below), whose sum is σ = 61266399948000. Its totient is φ = 7281080223360.

The previous prime is 22232132120213. The next prime is 22232132120249. The reversal of 22232132120232 is 23202123123222.

22232132120232 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 213 + 212 + 0 + 232 = 666.

It is a super-2 number, since 2×222321321202322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22232132120196 and 22232132120205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6248194 + ... + 9138062.

It is an arithmetic number, because the mean of its divisors is an integer number (638191666125).

Almost surely, 222232132120232 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 22232132120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30633199974000).

22232132120232 is an abundant number, since it is smaller than the sum of its proper divisors (39034267827768).

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

22232132120232 is a wasteful number, since it uses less digits than its factorization.

22232132120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891751 (or 2891744 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22232132120232 its reverse (23202123123222), we get a palindrome (45434255243454).

The spelling of 22232132120232 in words is "twenty-two trillion, two hundred thirty-two billion, one hundred thirty-two million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 1811 2124 3622 4248 5433 7244 10866 14488 16299 21732 32598 43464 65196 106849 130392 213698 320547 427396 641094 854792 961641 1282188 1923282 2564376 2889869 3846564 5779738 7693128 8669607 11559476 17339214 23118952 26008821 34678428 52017642 69356856 104035284 170502271 208070568 341004542 511506813 682009084 1023013626 1364018168 1534520439 2046027252 3069040878 4092054504 5233552759 6138081756 10467105518 12276163512 15700658277 20934211036 31401316554 41868422072 47101974831 62802633108 94203949662 125605266216 188407899324 308779612781 376815798648 617559225562 926338838343 1235118451124 1852677676686 2470236902248 2779016515029 3705355353372 5558033030058 7410710706744 11116066060116 22232132120232