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230574976 = 2710317489
BaseRepresentation
bin11011011111001…
…00101110000000
3121001212102101221
431233210232000
5433011344401
634514004424
75466566152
oct1557445600
9531772357
10230574976
11109176435
1265276714
1338a00bc8
14228a0ad2
15153987a1
hexdbe4b80

230574976 has 32 divisors (see below), whose sum is σ = 463834800. Its totient is φ = 114161664.

The previous prime is 230574959. The next prime is 230574983. The reversal of 230574976 is 679475032.

230574976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4440 + ... + 21928.

Almost surely, 2230574976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230574976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231917400).

230574976 is an abundant number, since it is smaller than the sum of its proper divisors (233259824).

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

230574976 is a wasteful number, since it uses less digits than its factorization.

230574976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17606 (or 17594 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The square root of 230574976 is about 15184.6954529882. The cubic root of 230574976 is about 613.2026984959.

The spelling of 230574976 in words is "two hundred thirty million, five hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 1648 3296 6592 13184 17489 34978 69956 139912 279824 559648 1119296 1801367 2238592 3602734 7205468 14410936 28821872 57643744 115287488 230574976