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230301232 = 24731113587
BaseRepresentation
bin11011011101000…
…01111000110000
3121001100111220021
431232201320300
5432424114412
634504053224
75464346110
oct1556417060
9531314807
10230301232
11108aa97a7
1265164214
1338936425
142282d040
1515342607
hexdba1e30

230301232 has 80 divisors (see below), whose sum is σ = 531965952. Its totient is φ = 94510080.

The previous prime is 230301229. The next prime is 230301251. The reversal of 230301232 is 232103032.

230301232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392043 + ... + 392629.

Almost surely, 2230301232 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 230301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265982976).

230301232 is an abundant number, since it is smaller than the sum of its proper divisors (301664720).

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

230301232 is a wasteful number, since it uses less digits than its factorization.

230301232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 230301232 is about 15175.6789633940. The cubic root of 230301232 is about 612.9599328735.

Adding to 230301232 its reverse (232103032), we get a palindrome (462404264).

The spelling of 230301232 in words is "two hundred thirty million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 113 124 217 226 248 434 452 496 587 791 868 904 1174 1582 1736 1808 2348 3164 3472 3503 4109 4696 6328 7006 8218 9392 12656 14012 16436 18197 24521 28024 32872 36394 49042 56048 65744 66331 72788 98084 127379 132662 145576 196168 254758 265324 291152 392336 464317 509516 530648 928634 1019032 1061296 1857268 2038064 2056261 3714536 4112522 7429072 8225044 14393827 16450088 28787654 32900176 57575308 115150616 230301232