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230510400 = 2635248023
BaseRepresentation
bin11011011110101…
…00111101000000
3121001202010211020
431233110331000
5433002313100
634512345440
75466206661
oct1557247500
9531663736
10230510400
1110913196a
1265245280
13389aa6b3
1422885368
15153845a0
hexdbd4f40

230510400 has 84 divisors (see below), whose sum is σ = 756281952. Its totient is φ = 61468160.

The previous prime is 230510377. The next prime is 230510411. The reversal of 230510400 is 4015032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230510400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19212 + ... + 28811.

Almost surely, 2230510400 is an apocalyptic number.

230510400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230510400 is an abundant number, since it is smaller than the sum of its proper divisors (525771552).

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

230510400 is a wasteful number, since it uses less digits than its factorization.

230510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48048 (or 48033 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 230510400 is about 15182.5689525851. The cubic root of 230510400 is about 613.1454475958.

Adding to 230510400 its reverse (4015032), we get a palindrome (234525432).

The spelling of 230510400 in words is "two hundred thirty million, five hundred ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 48023 96046 144069 192092 240115 288138 384184 480230 576276 720345 768368 960460 1152552 1200575 1440690 1536736 1920920 2305104 2401150 2881380 3073472 3601725 3841840 4610208 4802300 5762760 7203450 7683680 9220416 9604600 11525520 14406900 15367360 19209200 23051040 28813800 38418400 46102080 57627600 76836800 115255200 230510400