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230037888 = 273797583
BaseRepresentation
bin11011011011000…
…01100110000000
3121000212010122210
431231201212000
5432342203023
634454302120
75462201253
oct1555414600
9530763583
10230037888
11108939963
1265057940
13388735c2
14227a109a
15152de593
hexdb61980

230037888 has 64 divisors (see below), whose sum is σ = 618854400. Its totient is φ = 75698688.

The previous prime is 230037877. The next prime is 230037901. The reversal of 230037888 is 888730032.

It is a happy number.

230037888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 151672-1.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26545 + ... + 34127.

It is an arithmetic number, because the mean of its divisors is an integer number (9669600).

Almost surely, 2230037888 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 230037888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309427200).

230037888 is an abundant number, since it is smaller than the sum of its proper divisors (388816512).

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

230037888 is an equidigital number, since it uses as much as digits as its factorization.

230037888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7679 (or 7667 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 230037888 is about 15166.9999670337. Note that the first 4 decimals coincide. The cubic root of 230037888 is about 612.7262087133.

The spelling of 230037888 in words is "two hundred thirty million, thirty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7583 7584 10112 15166 15168 22749 30332 30336 45498 60664 90996 121328 181992 242656 363984 485312 599057 727968 970624 1198114 1455936 1797171 2396228 2911872 3594342 4792456 7188684 9584912 14377368 19169824 28754736 38339648 57509472 76679296 115018944 230037888