Search a number
-
+
32020211400 = 233522272331009
BaseRepresentation
bin11101110100100011…
…011010011011001000
310001122112200021102120
4131310203122123020
51011034133231100
622413200131240
72212330210002
oct356443323310
9101575607376
1032020211400
1112641635831
126257606b20
133033a97b68
14179a885372
15c761800a0
hex7748da6c8

32020211400 has 192 divisors, whose sum is σ = 100227067200. Its totient is φ = 8456232960.

The previous prime is 32020211359. The next prime is 32020211411. The reversal of 32020211400 is 411202023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32020211400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31734096 + ... + 31735104.

It is an arithmetic number, because the mean of its divisors is an integer number (522015975).

Almost surely, 232020211400 is an apocalyptic number.

32020211400 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 32020211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50113533600).

32020211400 is an abundant number, since it is smaller than the sum of its proper divisors (68206855800).

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

32020211400 is a wasteful number, since it uses less digits than its factorization.

32020211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 32020211400 its reverse (411202023), we get a palindrome (32431413423).

The spelling of 32020211400 in words is "thirty-two billion, twenty million, two hundred eleven thousand, four hundred".