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230378960 = 2457478753
BaseRepresentation
bin11011011101101…
…00110111010000
3121001111110112002
431232310313100
5432434111320
634505453132
75465121530
oct1556646720
9531443462
10230378960
11109052139
12651a11a8
1338962916
142284d4c0
151535a675
hexdbb4dd0

230378960 has 80 divisors (see below), whose sum is σ = 625245696. Its totient is φ = 77297664.

The previous prime is 230378947. The next prime is 230378963. The reversal of 230378960 is 69873032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230378963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21944 + ... + 30696.

Almost surely, 2230378960 is an apocalyptic number.

230378960 is a gapful number since it is divisible by the number (20) 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 230378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312622848).

230378960 is an abundant number, since it is smaller than the sum of its proper divisors (394866736).

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

230378960 is a wasteful number, since it uses less digits than its factorization.

230378960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8820 (or 8814 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 230378960 is about 15178.2396871310. The cubic root of 230378960 is about 613.0288842930.

The spelling of 230378960 in words is "two hundred thirty million, three hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 47 56 70 80 94 112 140 188 235 280 329 376 470 560 658 752 940 1316 1645 1880 2632 3290 3760 5264 6580 8753 13160 17506 26320 35012 43765 61271 70024 87530 122542 140048 175060 245084 306355 350120 411391 490168 612710 700240 822782 980336 1225420 1645564 2056955 2450840 2879737 3291128 4113910 4901680 5759474 6582256 8227820 11518948 14398685 16455640 23037896 28797370 32911280 46075792 57594740 115189480 230378960