Search a number
-
+
31222230000 = 2435413223359
BaseRepresentation
bin11101000100111111…
…010110101111110000
32222120221010121201220
4131010333112233300
51002420342330000
622202052425040
72153500401423
oct350477265760
988527117656
1031222230000
1112272153575
126074318180
132c37670a10
1417228c39ba
15c2b0a61a0
hex744fd6bf0

31222230000 has 400 divisors, whose sum is σ = 109333002240. Its totient is φ = 7629696000.

The previous prime is 31222229989. The next prime is 31222230007. The reversal of 31222230000 is 3222213.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31222230007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86969821 + ... + 86970179.

Almost surely, 231222230000 is an apocalyptic number.

31222230000 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 31222230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54666501120).

31222230000 is an abundant number, since it is smaller than the sum of its proper divisors (78110772240).

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

31222230000 is a wasteful number, since it uses less digits than its factorization.

31222230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 31222230000 its reverse (3222213), we get a palindrome (31225452213).

The spelling of 31222230000 in words is "thirty-one billion, two hundred twenty-two million, two hundred thirty thousand".