Search a number
-
+
32922215040 = 27351113196311
BaseRepresentation
bin11110101010010100…
…010010001010000000
310010222101221210210210
4132222110102022000
51014411041340130
623042501154120
72243562132141
oct365224221200
9103871853723
1032922215040
1112a64806490
1264696bb940
133148913520
1418445a3ac8
15cca4555b0
hex7aa512280

32922215040 has 512 divisors, whose sum is σ = 129794918400. Its totient is φ = 6978355200.

The previous prime is 32922215017. The next prime is 32922215077. The reversal of 32922215040 is 4051222923.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32922214989 and 32922215007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5213485 + ... + 5219795.

It is an arithmetic number, because the mean of its divisors is an integer number (253505700).

Almost surely, 232922215040 is an apocalyptic number.

32922215040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32922215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64897459200).

32922215040 is an abundant number, since it is smaller than the sum of its proper divisors (96872703360).

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

32922215040 is a wasteful number, since it uses less digits than its factorization.

32922215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 32922215040 its reverse (4051222923), we get a palindrome (36973437963).

The spelling of 32922215040 in words is "thirty-two billion, nine hundred twenty-two million, two hundred fifteen thousand, forty".