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230233344 = 2831127253
BaseRepresentation
bin11011011100100…
…01010100000000
3121001020001202220
431232101110000
5432414431334
634502411040
75463644145
oct1556212400
9531201686
10230233344
11108a627a0
1265130a80
1338911563
14228123cc
151532c449
hexdb91500

230233344 has 72 divisors (see below), whose sum is σ = 668486112. Its totient is φ = 69765120.

The previous prime is 230233343. The next prime is 230233361. The reversal of 230233344 is 443332032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230233343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5179 + ... + 22074.

Almost surely, 2230233344 is an apocalyptic number.

230233344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230233344 is an abundant number, since it is smaller than the sum of its proper divisors (438252768).

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

230233344 is a wasteful number, since it uses less digits than its factorization.

230233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27283 (or 27269 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 230233344 is about 15173.4420617077. The cubic root of 230233344 is about 612.8996976863.

Adding to 230233344 its reverse (443332032), we get a palindrome (673565376).

The spelling of 230233344 in words is "two hundred thirty million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 27253 54506 81759 109012 163518 218024 299783 327036 436048 599566 654072 872096 899349 1199132 1308144 1744192 1798698 2398264 2616288 3488384 3597396 4796528 5232576 6976768 7194792 9593056 10465152 14389584 19186112 20930304 28779168 38372224 57558336 76744448 115116672 230233344