Search a number
-
+
230403031200 = 25335210666807
BaseRepresentation
bin1101011010010100010…
…1110100000010100000
3211000201011221200202000
43112211011310002200
512233331133444300
6253502400324000
722434413310636
oct3264505640240
9730634850660
10230403031200
1189793560571
12387a1613600
131895b047474
14b219c7d356
155ed765ec00
hex35a51740a0

230403031200 has 144 divisors (see below), whose sum is σ = 833291040960. Its totient is φ = 61440802560.

The previous prime is 230403031181. The next prime is 230403031241. The reversal of 230403031200 is 2130304032.

230403031200 is a `hidden beast` number, since 2 + 30 + 403 + 0 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2304030312002 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5311804 + ... + 5355003.

It is an arithmetic number, because the mean of its divisors is an integer number (5786743340).

Almost surely, 2230403031200 is an apocalyptic number.

230403031200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230403031200 is an abundant number, since it is smaller than the sum of its proper divisors (602888009760).

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

230403031200 is a wasteful number, since it uses less digits than its factorization.

230403031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666836 (or 10666817 counting only the distinct ones).

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

Adding to 230403031200 its reverse (2130304032), we get a palindrome (232533335232).

The spelling of 230403031200 in words is "two hundred thirty billion, four hundred three million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 200 216 225 240 270 288 300 360 400 432 450 480 540 600 675 720 800 864 900 1080 1200 1350 1440 1800 2160 2400 2700 3600 4320 5400 7200 10800 21600 10666807 21333614 32000421 42667228 53334035 64000842 85334456 96001263 106668070 128001684 160002105 170668912 192002526 213336140 256003368 266670175 288003789 320004210 341337824 384005052 426672280 480006315 512006736 533340350 576007578 640008420 768010104 800010525 853344560 960012630 1024013472 1066680700 1152015156 1280016840 1440018945 1536020208 1600021050 1706689120 1920025260 2133361400 2304030312 2400031575 2560033680 2880037890 3072040416 3200042100 3840050520 4266722800 4608060624 4800063150 5120067360 5760075780 6400084200 7200094725 7680101040 8533445600 9216121248 9600126300 11520151560 12800168400 14400189450 15360202080 19200252600 23040303120 25600336800 28800378900 38400505200 46080606240 57600757800 76801010400 115201515600 230403031200