Search a number
-
+
32122221024 = 2531492245681
BaseRepresentation
bin11101111010101000…
…100011000111100000
310001220122121220022210
4131322220203013200
51011241242033044
622431242402120
72215006242105
oct357250430740
9101818556283
1032122221024
111269417a103
126285800340
13304bc6329a
1417aa23aaac
15c800d01b9
hex77aa231e0

32122221024 has 48 divisors (see below), whose sum is σ = 84886779600. Its totient is φ = 10635540480.

The previous prime is 32122221023. The next prime is 32122221031. The reversal of 32122221024 is 42012222123.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32122221023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1108537 + ... + 1137144.

It is an arithmetic number, because the mean of its divisors is an integer number (1768474575).

Almost surely, 232122221024 is an apocalyptic number.

It is an amenable number.

32122221024 is an abundant number, since it is smaller than the sum of its proper divisors (52764558576).

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

32122221024 is a wasteful number, since it uses less digits than its factorization.

32122221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245843 (or 2245835 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 32122221024 its reverse (42012222123), we get a palindrome (74134443147).

The spelling of 32122221024 in words is "thirty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 3576 4768 7152 14304 2245681 4491362 6737043 8982724 13474086 17965448 26948172 35930896 53896344 71861792 107792688 215585376 334606469 669212938 1003819407 1338425876 2007638814 2676851752 4015277628 5353703504 8030555256 10707407008 16061110512 32122221024