Search a number
-
+
32220122000 = 2453112211631
BaseRepresentation
bin11110000000011110…
…000000101110010000
310002011110211210012212
4132000132000232100
51011441322401000
622445101011252
72220305342513
oct360036005620
9102143753185
1032220122000
1112734467600
1262b2553b28
133066320561
1417b9242d7a
15c889bcc35
hex780780b90

32220122000 has 240 divisors, whose sum is σ = 86176900992. Its totient is φ = 11642400000.

The previous prime is 32220121993. The next prime is 32220122023. The reversal of 32220122000 is 22102223.

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 47 ways as a sum of consecutive naturals, for example, 51061685 + ... + 51062315.

Almost surely, 232220122000 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 32220122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43088450496).

32220122000 is an abundant number, since it is smaller than the sum of its proper divisors (53956778992).

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

32220122000 is a wasteful number, since it uses less digits than its factorization.

32220122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 32220122000 its reverse (22102223), we get a palindrome (32242224223).

The spelling of 32220122000 in words is "thirty-two billion, two hundred twenty million, one hundred twenty-two thousand".