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230271984 = 2434177679
BaseRepresentation
bin11011011100110…
…10101111110000
3121001022000210000
431232122233300
5432422200414
634503310000
75464164615
oct1556325760
9531260700
10230271984
11108a89828
126514b300
1338926017
142282250c
1515338b09
hexdb9abf0

230271984 has 50 divisors (see below), whose sum is σ = 666477680. Its totient is φ = 76756896.

The previous prime is 230271971. The next prime is 230271991. The reversal of 230271984 is 489172032.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 9 ways as a sum of consecutive naturals, for example, 87544 + ... + 90135.

Almost surely, 2230271984 is an apocalyptic number.

230271984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230271984 is an abundant number, since it is smaller than the sum of its proper divisors (436205696).

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

230271984 is a wasteful number, since it uses less digits than its factorization.

230271984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177699 (or 177684 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 230271984 is about 15174.7152856322. The cubic root of 230271984 is about 612.9339833653.

The spelling of 230271984 in words is "two hundred thirty million, two hundred seventy-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 177679 355358 533037 710716 1066074 1421432 1599111 2132148 2842864 3198222 4264296 4797333 6396444 8528592 9594666 12792888 14391999 19189332 25585776 28783998 38378664 57567996 76757328 115135992 230271984