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423198000 = 24335317461
BaseRepresentation
bin11001001110010…
…111110100110000
31002111022200112000
4121032113310300
51331314314000
6105554334000
713326060261
oct3116276460
91074280460
10423198000
111a797aa15
12b988a300
13698a4524
14402c2968
1527247000
hex19397d30

423198000 has 320 divisors, whose sum is σ = 1608647040. Its totient is φ = 105984000.

The previous prime is 423197987. The next prime is 423198007. The reversal of 423198000 is 891324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (423198007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 917770 + ... + 918230.

It is an arithmetic number, because the mean of its divisors is an integer number (5027022).

Almost surely, 2423198000 is an apocalyptic number.

423198000 is a gapful number since it is divisible by the number (40) 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 423198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804323520).

423198000 is an abundant number, since it is smaller than the sum of its proper divisors (1185449040).

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

423198000 is a wasteful number, since it uses less digits than its factorization.

423198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 423198000 is about 20571.7767827672. The cubic root of 423198000 is about 750.7831818835.

The spelling of 423198000 in words is "four hundred twenty-three million, one hundred ninety-eight thousand".