Search a number
-
+
223220332000 = 25531313131361
BaseRepresentation
bin1100111111100011110…
…1111111010111100000
3210100011121102202202201
43033320331333113200
512124123401111000
6250313534222544
722061415341641
oct3177075772740
9710147382681
10223220332000
1186738070326
1237318054a54
1318084c33bb3
14ab37d656c8
155c16ca796a
hex33f8f7f5e0

223220332000 has 192 divisors, whose sum is σ = 554811985728. Its totient is φ = 88258560000.

The previous prime is 223220331979. The next prime is 223220332037. The reversal of 223220332000 is 233022322.

223220332000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232203320003 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164011320 + ... + 164012680.

It is an arithmetic number, because the mean of its divisors is an integer number (2889645759).

Almost surely, 2223220332000 is an apocalyptic number.

223220332000 is a gapful number since it is divisible by the number (20) 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 223220332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277405992864).

223220332000 is an abundant number, since it is smaller than the sum of its proper divisors (331591653728).

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

223220332000 is a wasteful number, since it uses less digits than its factorization.

223220332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 223220332000 its reverse (233022322), we get a palindrome (223453354322).

The spelling of 223220332000 in words is "two hundred twenty-three billion, two hundred twenty million, three hundred thirty-two thousand".