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230445900 = 2232521072393
BaseRepresentation
bin11011011110001…
…01001101001100
3121001121212100100
431233011031030
5432443232100
634511131100
75465520636
oct1557051514
9531555310
10230445900
11109098463
1265213a90
1338987229
1422869a56
1515370400
hexdbc534c

230445900 has 108 divisors (see below), whose sum is σ = 729375192. Its totient is φ = 60852480.

The previous prime is 230445869. The next prime is 230445911. The reversal of 230445900 is 9544032.

230445900 is a `hidden beast` number, since 2 + 30 + 44 + 590 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95104 + ... + 97496.

It is an arithmetic number, because the mean of its divisors is an integer number (6753474).

Almost surely, 2230445900 is an apocalyptic number.

230445900 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 230445900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364687596).

230445900 is an abundant number, since it is smaller than the sum of its proper divisors (498929292).

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

230445900 is a wasteful number, since it uses less digits than its factorization.

230445900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 230445900 is about 15180.4446575191. Note that the first 3 decimals coincide. The cubic root of 230445900 is about 613.0882534003.

Adding to 230445900 its reverse (9544032), we get a palindrome (239989932).

The spelling of 230445900 in words is "two hundred thirty million, four hundred forty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 107 150 180 214 225 300 321 428 450 535 642 900 963 1070 1284 1605 1926 2140 2393 2675 3210 3852 4786 4815 5350 6420 7179 8025 9572 9630 10700 11965 14358 16050 19260 21537 23930 24075 28716 32100 35895 43074 47860 48150 59825 71790 86148 96300 107685 119650 143580 179475 215370 239300 256051 358950 430740 512102 538425 717900 768153 1024204 1076850 1280255 1536306 2153700 2304459 2560510 3072612 3840765 4608918 5121020 6401275 7681530 9217836 11522295 12802550 15363060 19203825 23044590 25605100 38407650 46089180 57611475 76815300 115222950 230445900