Search a number
-
+
223469568000 = 21632537433
BaseRepresentation
bin1101000000011111010…
…0110000000000000000
3210100210222102021021200
43100013310300000000
512130131202134000
6250354400221200
722100532662340
oct3200764600000
9710728367250
10223469568000
1186855821a98
123738760a800
13180c4769913
14ab5d0c2d20
155c2dada500
hex3407d30000

223469568000 has 816 divisors, whose sum is σ = 922899222336. Its totient is φ = 50960793600.

The previous prime is 223469567999. The next prime is 223469568013. The reversal of 223469568000 is 865964322.

223469568000 is a `hidden beast` number, since 2 + 23 + 4 + 69 + 568 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 516095784 + ... + 516096216.

Almost surely, 2223469568000 is an apocalyptic number.

223469568000 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 223469568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461449611168).

223469568000 is an abundant number, since it is smaller than the sum of its proper divisors (699429654336).

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

223469568000 is an frugal number, since it uses more digits than its factorization.

223469568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 223469568000 in words is "two hundred twenty-three billion, four hundred sixty-nine million, five hundred sixty-eight thousand".