Search a number
-
+
15312220000 = 255471161163
BaseRepresentation
bin11100100001010110…
…11110111101100000
31110112010122101000021
432100223132331200
5222324412020000
611011230003224
71051310502550
oct162053367540
943463571007
1015312220000
116548392580
122b74046514
1315a043500c
14a53899160
155e943911a
hex390adef60

15312220000 has 480 divisors, whose sum is σ = 48028425984. Its totient is φ = 4665600000.

The previous prime is 15312219959. The next prime is 15312220003. The reversal of 15312220000 is 2221351.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15312220003) 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, 93939919 + ... + 93940081.

Almost surely, 215312220000 is an apocalyptic number.

15312220000 is a gapful number since it is divisible by the number (10) 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 15312220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24014212992).

15312220000 is an abundant number, since it is smaller than the sum of its proper divisors (32716205984).

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

15312220000 is a wasteful number, since it uses less digits than its factorization.

15312220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 15312220000 its reverse (2221351), we get a palindrome (15314441351).

The spelling of 15312220000 in words is "fifteen billion, three hundred twelve million, two hundred twenty thousand".