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223230000 = 2435471063
BaseRepresentation
bin11010100111000…
…11100000110000
3120120001020222210
431103203200300
5424121330000
634052332120
75350265220
oct1523434060
9516036883
10223230000
1110500a004
1262914040
133732b976
142190c080
15148e7350
hexd4e3830

223230000 has 200 divisors, whose sum is σ = 824336128. Its totient is φ = 50976000.

The previous prime is 223229989. The next prime is 223230001. The reversal of 223230000 is 32322.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×2232300003 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223230001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209469 + ... + 210531.

Almost surely, 2223230000 is an apocalyptic number.

223230000 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 223230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412168064).

223230000 is an abundant number, since it is smaller than the sum of its proper divisors (601106128).

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

223230000 is a wasteful number, since it uses less digits than its factorization.

223230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 223230000 is about 14940.8835080125. The cubic root of 223230000 is about 606.6211105080.

Adding to 223230000 its reverse (32322), we get a palindrome (223262322).

The spelling of 223230000 in words is "two hundred twenty-three million, two hundred thirty thousand".