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230523000 = 23353431787
BaseRepresentation
bin11011011110110…
…00000001111000
3121001202210002220
431233120001320
5433003214000
634512524040
75466261501
oct1557300170
9531683086
10230523000
11109140384
1265250620
13389b3356
1422889ba8
15153881a0
hexdbd8078

230523000 has 128 divisors (see below), whose sum is σ = 736369920. Its totient is φ = 60009600.

The previous prime is 230522969. The next prime is 230523011. The reversal of 230523000 is 325032.

230523000 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128107 + ... + 129893.

It is an arithmetic number, because the mean of its divisors is an integer number (5752890).

Almost surely, 2230523000 is an apocalyptic number.

230523000 is a gapful number since it is divisible by the number (20) 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 230523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368184960).

230523000 is an abundant number, since it is smaller than the sum of its proper divisors (505846920).

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

230523000 is a wasteful number, since it uses less digits than its factorization.

230523000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 230523000 is about 15182.9838964546. The cubic root of 230523000 is about 613.1566191697.

Adding to 230523000 its reverse (325032), we get a palindrome (230848032).

The spelling of 230523000 in words is "two hundred thirty million, five hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 125 129 150 172 200 215 250 258 300 344 375 430 500 516 600 645 750 860 1000 1032 1075 1290 1500 1720 1787 2150 2580 3000 3225 3574 4300 5160 5361 5375 6450 7148 8600 8935 10722 10750 12900 14296 16125 17870 21444 21500 25800 26805 32250 35740 42888 43000 44675 53610 64500 71480 76841 89350 107220 129000 134025 153682 178700 214440 223375 230523 268050 307364 357400 384205 446750 461046 536100 614728 670125 768410 893500 922092 1072200 1152615 1340250 1536820 1787000 1844184 1921025 2305230 2680500 3073640 3842050 4610460 5361000 5763075 7684100 9220920 9605125 11526150 15368200 19210250 23052300 28815375 38420500 46104600 57630750 76841000 115261500 230523000