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132422222424 = 23343383335029
BaseRepresentation
bin111101101010011111…
…0101100001001011000
3110122210201202220010110
41323110332230021120
54132200042104144
6140500043444320
712365355214212
oct1732476541130
9418721686113
10132422222424
115118398a748
12217b7b266a0
13c64497133b
1465a30715b2
1536a08290b9
hex1ed4fac258

132422222424 has 64 divisors (see below), whose sum is σ = 339640012800. Its totient is φ = 43001513856.

The previous prime is 132422222417. The next prime is 132422222441. The reversal of 132422222424 is 424222224231.

It is a happy number.

132422222424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1324222224242 (a number of 23 digits) contains 22 as substring.

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 = 132422222391 and 132422222400.

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, 227742 + ... + 562770.

It is an arithmetic number, because the mean of its divisors is an integer number (5306875200).

Almost surely, 2132422222424 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 132422222424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169820006400).

132422222424 is an abundant number, since it is smaller than the sum of its proper divisors (207217790376).

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

132422222424 is a wasteful number, since it uses less digits than its factorization.

132422222424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335464 (or 335460 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

Adding to 132422222424 its reverse (424222224231), we get a palindrome (556644446655).

The spelling of 132422222424 in words is "one hundred thirty-two billion, four hundred twenty-two million, two hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 383 516 766 1032 1149 1532 2298 3064 4596 9192 16469 32938 49407 65876 98814 131752 197628 335029 395256 670058 1005087 1340116 2010174 2680232 4020348 8040696 14406247 28812494 43218741 57624988 86437482 115249976 128316107 172874964 256632214 345749928 384948321 513264428 769896642 1026528856 1539793284 3079586568 5517592601 11035185202 16552777803 22070370404 33105555606 44140740808 66211111212 132422222424