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1230233400 = 23335211139149
BaseRepresentation
bin100100101010011…
…1101111100111000
310011201220022222000
41021110331330320
510004414432100
6322024101000
742325545204
oct11124757470
93151808860
101230233400
11581486620
122a4004760
13167b4b776
14b955db04
157300d900
hex4953df38

1230233400 has 384 divisors, whose sum is σ = 4687200000. Its totient is φ = 294105600.

The previous prime is 1230233399. The next prime is 1230233437. The reversal of 1230233400 is 43320321.

1230233400 is a `hidden beast` number, since 1 + 2 + 30 + 233 + 400 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8256526 + ... + 8256674.

It is an arithmetic number, because the mean of its divisors is an integer number (12206250).

Almost surely, 21230233400 is an apocalyptic number.

1230233400 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 1230233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600000).

1230233400 is an abundant number, since it is smaller than the sum of its proper divisors (3456966600).

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

1230233400 is a wasteful number, since it uses less digits than its factorization.

1230233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1230233400 is about 35074.6831774715. The cubic root of 1230233400 is about 1071.5090362426.

Adding to 1230233400 its reverse (43320321), we get a palindrome (1273553721).

The spelling of 1230233400 in words is "one billion, two hundred thirty million, two hundred thirty-three thousand, four hundred".