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322223121132 = 22311291011635113
BaseRepresentation
bin1001011000001011111…
…11101010001011101100
31010210201021122112212120
410230011333222023230
520234403104334012
6404005515432540
732164663224063
oct4540577521354
91123637575776
10322223121132
11114721608110
1252547a55750
1324501c71b23
141184a7a31da
1585ad6b258c
hex4b05fea2ec

322223121132 has 192 divisors, whose sum is σ = 862313679360. Its totient is φ = 92752128000.

The previous prime is 322223121127. The next prime is 322223121169. The reversal of 322223121132 is 231121322223.

It is a super-2 number, since 2×3222231211322 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63017808 + ... + 63022920.

It is an arithmetic number, because the mean of its divisors is an integer number (4491217080).

Almost surely, 2322223121132 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 322223121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431156839680).

322223121132 is an abundant number, since it is smaller than the sum of its proper divisors (540090558228).

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

322223121132 is a wasteful number, since it uses less digits than its factorization.

322223121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5422 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 322223121132 its reverse (231121322223), we get a palindrome (553344443355).

The spelling of 322223121132 in words is "three hundred twenty-two billion, two hundred twenty-three million, one hundred twenty-one thousand, one hundred thirty-two".