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230233104 = 2434593011
BaseRepresentation
bin11011011100100…
…01010000010000
3121001020001110000
431232101100100
5432414424404
634502410000
75463643353
oct1556212020
9531201400
10230233104
11108a625a2
1265130900
133891140a
142281229a
151532c339
hexdb91410

230233104 has 100 divisors (see below), whose sum is σ = 677880720. Its totient is φ = 75418560.

The previous prime is 230233079. The next prime is 230233109. The reversal of 230233104 is 401332032.

It is a super-3 number, since 3×2302331043 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230233109) 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 19 ways as a sum of consecutive naturals, for example, 74959 + ... + 77969.

Almost surely, 2230233104 is an apocalyptic number.

230233104 is a gapful number since it is divisible by the number (24) 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 230233104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338940360).

230233104 is an abundant number, since it is smaller than the sum of its proper divisors (447647616).

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

230233104 is a wasteful number, since it uses less digits than its factorization.

230233104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 230233104 is about 15173.4341531507. The cubic root of 230233104 is about 612.8994847198.

Adding to 230233104 its reverse (401332032), we get a palindrome (631565136).

The spelling of 230233104 in words is "two hundred thirty million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 81 108 118 144 162 177 216 236 324 354 432 472 531 648 708 944 1062 1296 1416 1593 2124 2832 3011 3186 4248 4779 6022 6372 8496 9033 9558 12044 12744 18066 19116 24088 25488 27099 36132 38232 48176 54198 72264 76464 81297 108396 144528 162594 177649 216792 243891 325188 355298 433584 487782 532947 650376 710596 975564 1065894 1300752 1421192 1598841 1951128 2131788 2842384 3197682 3902256 4263576 4796523 6395364 8527152 9593046 12790728 14389569 19186092 25581456 28779138 38372184 57558276 76744368 115116552 230233104