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1230301800 = 23325272132937
BaseRepresentation
bin100100101010100…
…1110101001101000
310011202000210210100
41021111032221220
510004424124200
6322025345400
742326251500
oct11125165150
93152023710
101230301800
11581522a52
122a4038260
13167b73940
14b957aa00
1573023d00
hex4954ea68

1230301800 has 864 divisors, whose sum is σ = 5499257400. Its totient is φ = 243855360.

The previous prime is 1230301799. The next prime is 1230301811. The reversal of 1230301800 is 81030321.

It can be written as a sum of positive squares in 12 ways, for example, as 104162436 + 1126139364 = 10206^2 + 33558^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 33251382 + ... + 33251418.

Almost surely, 21230301800 is an apocalyptic number.

1230301800 is a gapful number since it is divisible by the number (10) 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 1230301800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749628700).

1230301800 is an abundant number, since it is smaller than the sum of its proper divisors (4268955600).

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

1230301800 is a wasteful number, since it uses less digits than its factorization.

1230301800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1230301800 is about 35075.6582261830. The cubic root of 1230301800 is about 1071.5288942251.

The spelling of 1230301800 in words is "one billion, two hundred thirty million, three hundred one thousand, eight hundred".