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230312224 = 2519219937
BaseRepresentation
bin11011011101001…
…00100100100000
3121001101001222101
431232210210200
5432424442344
634504220144
75464423132
oct1556444440
9531331871
10230312224
11109006a8a
126516a654
133893b42c
1422833052
15153459d4
hexdba4920

230312224 has 36 divisors (see below), whose sum is σ = 478571814. Its totient is φ = 109089792.

The previous prime is 230312221. The next prime is 230312227. The reversal of 230312224 is 422213032.

It is an interprime number because it is at equal distance from previous prime (230312221) and next prime (230312227).

It can be written as a sum of positive squares in only one way, i.e., 219632400 + 10679824 = 14820^2 + 3268^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (230312221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1584 + ... + 21520.

Almost surely, 2230312224 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 230312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239285907).

230312224 is an abundant number, since it is smaller than the sum of its proper divisors (248259590).

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

230312224 is a wasteful number, since it uses less digits than its factorization.

230312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19985 (or 19958 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 230312224 is about 15176.0411174983. The cubic root of 230312224 is about 612.9696846644.

Adding to 230312224 its reverse (422213032), we get a palindrome (652525256).

The spelling of 230312224 in words is "two hundred thirty million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 2888 5776 11552 19937 39874 79748 159496 318992 378803 637984 757606 1515212 3030424 6060848 7197257 12121696 14394514 28789028 57578056 115156112 230312224