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230301504 = 2632472181
BaseRepresentation
bin11011011101000…
…01111101000000
3121001100112021100
431232201331000
5432424122004
634504054400
75464346646
oct1556417500
9531315240
10230301504
11108aa9a24
1265164400
13389365a4
142282d196
1515342739
hexdba1f40

230301504 has 126 divisors (see below), whose sum is σ = 678187874. Its totient is φ = 74718720.

The previous prime is 230301503. The next prime is 230301509. The reversal of 230301504 is 405103032.

230301504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 127238400 + 103063104 = 11280^2 + 10152^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230301503) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1272294 + ... + 1272474.

Almost surely, 2230301504 is an apocalyptic number.

230301504 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 230301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339093937).

230301504 is an abundant number, since it is smaller than the sum of its proper divisors (447886370).

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

230301504 is a wasteful number, since it uses less digits than its factorization.

230301504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230301504 is about 15175.6879250991. The cubic root of 230301504 is about 612.9601741879.

Adding to 230301504 its reverse (405103032), we get a palindrome (635404536).

The spelling of 230301504 in words is "two hundred thirty million, three hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 181 188 192 282 288 362 376 423 543 564 576 724 752 846 1086 1128 1448 1504 1629 1692 2172 2209 2256 2896 3008 3258 3384 4344 4418 4512 5792 6516 6627 6768 8507 8688 8836 9024 11584 13032 13254 13536 17014 17376 17672 19881 25521 26064 26508 27072 34028 34752 35344 39762 51042 52128 53016 68056 70688 76563 79524 102084 104256 106032 136112 141376 153126 159048 204168 212064 272224 306252 318096 399829 408336 424128 544448 612504 636192 799658 816672 1199487 1225008 1272384 1599316 1633344 2398974 2450016 3198632 3598461 4797948 4900032 6397264 7196922 9595896 12794528 14393844 19191792 25589056 28787688 38383584 57575376 76767168 115150752 230301504