Search a number
-
+
223278612480 = 2143457111923
BaseRepresentation
bin1100111111110001110…
…0010100000000000000
3210100022200002201120000
43033330130110000000
512124233311044410
6250323415320000
722063023614610
oct3177434240000
9710280081500
10223278612480
1186767a57310
1237333680000
131809402b2a1
14ab419b6a40
155c1be6adc0
hex33fc714000

223278612480 has 2400 divisors, whose sum is σ = 1096189839360. Its totient is φ = 42042654720.

The previous prime is 223278612439. The next prime is 223278612509. The reversal of 223278612480 is 84216872322.

223278612480 is a `hidden beast` number, since 2 + 2 + 3 + 27 + 8 + 612 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×2232786124803 (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9707765749 + ... + 9707765771.

Almost surely, 2223278612480 is an apocalyptic number.

223278612480 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 223278612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548094919680).

223278612480 is an abundant number, since it is smaller than the sum of its proper divisors (872911226880).

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

223278612480 is a wasteful number, since it uses less digits than its factorization.

223278612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 223278612480 in words is "two hundred twenty-three billion, two hundred seventy-eight million, six hundred twelve thousand, four hundred eighty".