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230661984 = 25371761331
BaseRepresentation
bin11011011111110…
…01111101100000
3121002000211202110
431233321331200
5433022140414
634515515320
75500410630
oct1557717540
9532024673
10230661984
11109225843
12652b8b40
1338a316a7
14228c46c0
15153b4459
hexdbf9f60

230661984 has 192 divisors, whose sum is σ = 746952192. Its totient is φ = 60825600.

The previous prime is 230661961. The next prime is 230662043. The reversal of 230661984 is 489166032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 696699 + ... + 697029.

It is an arithmetic number, because the mean of its divisors is an integer number (3890376).

Almost surely, 2230661984 is an apocalyptic number.

230661984 is a gapful number since it is divisible by the number (24) 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 230661984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373476096).

230661984 is an abundant number, since it is smaller than the sum of its proper divisors (516290208).

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

230661984 is a wasteful number, since it uses less digits than its factorization.

230661984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 230661984 is about 15187.5601727203. The cubic root of 230661984 is about 613.2798199478.

The spelling of 230661984 in words is "two hundred thirty million, six hundred sixty-one thousand, nine hundred eighty-four".