Search a number
-
+
224384343000 = 23353172328317
BaseRepresentation
bin1101000011111001011…
…0010101101111011000
3210110011201201122200020
43100332112111233120
512134014342434000
6251025235110440
722132311306006
oct3207626255730
9713151648606
10224384343000
1187185125a94
12375a1a42420
131820c1373bc
14ac087a7a76
155c84084ba0
hex343e595bd8

224384343000 has 384 divisors, whose sum is σ = 774983401920. Its totient is φ = 53861068800.

The previous prime is 224384342969. The next prime is 224384343013. The reversal of 224384343000 is 343483422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26974842 + ... + 26983158.

Almost surely, 2224384343000 is an apocalyptic number.

224384343000 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 224384343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387491700960).

224384343000 is an abundant number, since it is smaller than the sum of its proper divisors (550599058920).

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

224384343000 is a wasteful number, since it uses less digits than its factorization.

224384343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404 (or 8367 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

The spelling of 224384343000 in words is "two hundred twenty-four billion, three hundred eighty-four million, three hundred forty-three thousand".