Search a number
-
+
32252422400 = 285211974723
BaseRepresentation
bin11110000010011001…
…001110100100000000
310002020201121211000222
4132002121032210000
51012023110004100
622452213202212
72221150032002
oct360231164400
9102221554028
1032252422400
1112750719350
126301330368
13306cc1c613
1417bd650372
15c8b74d485
hex78264e900

32252422400 has 216 divisors, whose sum is σ = 88003471584. Its totient is φ = 11604787200.

The previous prime is 32252422361. The next prime is 32252422403. The reversal of 32252422400 is 422425223.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 32252422400.

It is not an unprimeable number, because it can be changed into a prime (32252422403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6826439 + ... + 6831161.

Almost surely, 232252422400 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 32252422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44001735792).

32252422400 is an abundant number, since it is smaller than the sum of its proper divisors (55751049184).

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

32252422400 is a wasteful number, since it uses less digits than its factorization.

32252422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 32252422400 its reverse (422425223), we get a palindrome (32674847623).

The spelling of 32252422400 in words is "thirty-two billion, two hundred fifty-two million, four hundred twenty-two thousand, four hundred".