Search a number
-
+
223211302203120 = 243571129214362109
BaseRepresentation
bin110010110000001001101110…
…011000001010111011110000
31002021022210101102201221011020
4302300021232120022323300
5213224043221330444440
62110421505010415440
765005325102600160
oct6260115630127360
91067283342657136
10223211302203120
1165138421a947a0
122104ba19591580
139771973b08b1a
143d196add145a0
151ac1388e743d0
hexcb026e60aef0

223211302203120 has 480 divisors, whose sum is σ = 893471229181440. Its totient is φ = 44782201712640.

The previous prime is 223211302203103. The next prime is 223211302203163. The reversal of 223211302203120 is 21302203112322.

It is a super-3 number, since 3×2232113022031203 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8360626 + ... + 22722734.

It is an arithmetic number, because the mean of its divisors is an integer number (1861398394128).

Almost surely, 2223211302203120 is an apocalyptic number.

223211302203120 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 223211302203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446735614590720).

223211302203120 is an abundant number, since it is smaller than the sum of its proper divisors (670259926978320).

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

223211302203120 is a wasteful number, since it uses less digits than its factorization.

223211302203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14362201 (or 14362166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 223211302203120 its reverse (21302203112322), we get a palindrome (244513505315442).

The spelling of 223211302203120 in words is "two hundred twenty-three trillion, two hundred eleven billion, three hundred two million, two hundred three thousand, one hundred twenty".