Search a number
-
+
32223240 = 23325719673
BaseRepresentation
bin111101011101…
…1000000001000
32020122002222100
41322323000020
531222120430
63110353400
7540615210
oct172730010
966562870
1032223240
1117209885
12a95b860
1368a2c0a
1443cb240
152c67960
hex1ebb008

32223240 has 192 divisors, whose sum is σ = 126172800. Its totient is φ = 6967296.

The previous prime is 32223239. The next prime is 32223271. The reversal of 32223240 is 4232223.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47544 + ... + 48216.

It is an arithmetic number, because the mean of its divisors is an integer number (657150).

Almost surely, 232223240 is an apocalyptic number.

32223240 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 32223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63086400).

32223240 is an abundant number, since it is smaller than the sum of its proper divisors (93949560).

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

32223240 is a wasteful number, since it uses less digits than its factorization.

32223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 32223240 is about 5676.5517702211. The cubic root of 32223240 is about 318.2167739951.

Adding to 32223240 its reverse (4232223), we get a palindrome (36455463).

The spelling of 32223240 in words is "thirty-two million, two hundred twenty-three thousand, two hundred forty".