Search a number
-
+
322332213132 = 223337761105997
BaseRepresentation
bin1001011000011000111…
…11110011111110001100
31010210222212220222222000
410230030133303332030
520240114021310012
6404024413552300
732200456414416
oct4541437637614
91123885828860
10322332213132
11114778149596
12525784a5690
132451b749ac7
141185b07d9b6
1585b8060ddc
hex4b0c7f3f8c

322332213132 has 96 divisors (see below), whose sum is σ = 859397864640. Its totient is φ = 104401820160.

The previous prime is 322332213131. The next prime is 322332213139. The reversal of 322332213132 is 231312233223.

322332213132 is a `hidden beast` number, since 3 + 2 + 23 + 322 + 1 + 313 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 322332213096 and 322332213105.

It is not an unprimeable number, because it can be changed into a prime (322332213131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2987958 + ... + 3093954.

It is an arithmetic number, because the mean of its divisors is an integer number (8952061090).

Almost surely, 2322332213132 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 322332213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429698932320).

322332213132 is an abundant number, since it is smaller than the sum of its proper divisors (537065651508).

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

322332213132 is a wasteful number, since it uses less digits than its factorization.

322332213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106808 (or 106800 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 322332213132 its reverse (231312233223), we get a palindrome (553644446355).

The spelling of 322332213132 in words is "three hundred twenty-two billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 761 999 1332 1522 1998 2283 3044 3996 4566 6849 9132 13698 20547 27396 28157 41094 56314 82188 84471 105997 112628 168942 211994 253413 317991 337884 423988 506826 635982 760239 953973 1013652 1271964 1520478 1907946 2861919 3040956 3815892 3921889 5723838 7843778 11447676 11765667 15687556 23531334 35297001 47062668 70594002 80663717 105891003 141188004 161327434 211782006 241991151 322654868 423564012 483982302 725973453 967964604 1451946906 2177920359 2903893812 2984557529 4355840718 5969115058 8711681436 8953672587 11938230116 17907345174 26861017761 35814690348 53722035522 80583053283 107444071044 161166106566 322332213132