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4230153200 = 2452713251463
BaseRepresentation
bin1111110000100011…
…0000001111110000
3101220210210001021202
43330020300033300
532130404400300
61535430510332
7206553465110
oct37410601760
911823701252
104230153200
1118808a1789
129a08053a8
13525505640
142c1b45040
1519b588ad5
hexfc2303f0

4230153200 has 240 divisors, whose sum is σ = 12585194496. Its totient is φ = 1330560000.

The previous prime is 4230153199. The next prime is 4230153203. The reversal of 4230153200 is 23510324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230153203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9136169 + ... + 9136631.

Almost surely, 24230153200 is an apocalyptic number.

4230153200 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 4230153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6292597248).

4230153200 is an abundant number, since it is smaller than the sum of its proper divisors (8355041296).

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

4230153200 is a wasteful number, since it uses less digits than its factorization.

4230153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4230153200 is about 65039.6279202149. The cubic root of 4230153200 is about 1617.2805566482.

Adding to 4230153200 its reverse (23510324), we get a palindrome (4253663524).

The spelling of 4230153200 in words is "four billion, two hundred thirty million, one hundred fifty-three thousand, two hundred".