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230906430 = 233519223103
BaseRepresentation
bin11011100001101…
…01101000111110
3121002111021002000
431300311220332
5433103001210
634525043130
75502446406
oct1560655076
9532437060
10230906430
11109382467
12653b64a6
1338ab8a31
1422949806
1515411ac0
hexdc35a3e

230906430 has 192 divisors, whose sum is σ = 684702720. Its totient is φ = 55256256.

The previous prime is 230906339. The next prime is 230906477. The reversal of 230906430 is 34609032.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230906394 and 230906403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2241759 + ... + 2241861.

It is an arithmetic number, because the mean of its divisors is an integer number (3566160).

Almost surely, 2230906430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230906430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342351360).

230906430 is an abundant number, since it is smaller than the sum of its proper divisors (453796290).

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

230906430 is a wasteful number, since it uses less digits than its factorization.

230906430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 230906430 is about 15195.6056147822. The cubic root of 230906430 is about 613.4963862987.

The spelling of 230906430 in words is "two hundred thirty million, nine hundred six thousand, four hundred thirty".