Search a number
-
+
223424271470400 = 263527211213603899
BaseRepresentation
bin110010110011010000000100…
…010101011100111101000000
31002022002011002121222122202020
4302303100010111130331000
5213241040401444023100
62111103405433121440
765026604504522100
oct6263200425347500
91068064077878666
10223424271470400
116520a77964a400
1221085154559280
139788a84029340
143d25b14641200
151ac6ba0cc95a0
hexcb340455cf40

223424271470400 has 1512 divisors, whose sum is σ = 1009357392304800. Its totient is φ = 42854534553600.

The previous prime is 223424271470399. The next prime is 223424271470417. The reversal of 223424271470400 is 4074172424322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 369667651 + ... + 370271549.

It is an arithmetic number, because the mean of its divisors is an integer number (667564412900).

Almost surely, 2223424271470400 is an apocalyptic number.

223424271470400 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 223424271470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504678696152400).

223424271470400 is an abundant number, since it is smaller than the sum of its proper divisors (785933120834400).

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

223424271470400 is a wasteful number, since it uses less digits than its factorization.

223424271470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603973 (or 603940 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 42.

The spelling of 223424271470400 in words is "two hundred twenty-three trillion, four hundred twenty-four billion, two hundred seventy-one million, four hundred seventy thousand, four hundred".