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223040000000 = 212571741
BaseRepresentation
bin1100111110111000111…
…0000101000000000000
3210022201001002221202202
43033232032011000000
512123241220000000
6250244013132332
722054065501446
oct3175616050000
9708631087682
10223040000000
11866552a1214
123728778a0a8
1318056774b7c
14ab1c022b96
155c06035dd5
hex33ee385000

223040000000 has 416 divisors, whose sum is σ = 604724623776. Its totient is φ = 81920000000.

The previous prime is 223039999993. The next prime is 223040000003. The reversal of 223040000000 is 40322.

It can be written as a sum of positive squares in 16 ways, for example, as 60366524416 + 162673475584 = 245696^2 + 403328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223040000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5439999980 + ... + 5440000020.

It is an arithmetic number, because the mean of its divisors is an integer number (1453664961).

Almost surely, 2223040000000 is an apocalyptic number.

223040000000 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 223040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302362311888).

223040000000 is an abundant number, since it is smaller than the sum of its proper divisors (381684623776).

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

223040000000 is an frugal number, since it uses more digits than its factorization.

223040000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

Adding to 223040000000 its reverse (40322), we get a palindrome (223040040322).

The spelling of 223040000000 in words is "two hundred twenty-three billion, forty million", and thus it is an aban number.