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230195200 = 21552281
BaseRepresentation
bin11011011100010…
…00000000000000
3121001011010110011
431232020000000
5432412221300
634501514304
75463425014
oct1556100000
9531133404
10230195200
11108a37074
1265112994
13388ca0a1
1422802544
1515320eba
hexdb88000

230195200 has 96 divisors (see below), whose sum is σ = 572906970. Its totient is φ = 91750400.

The previous prime is 230195191. The next prime is 230195227. The reversal of 230195200 is 2591032.

It can be written as a sum of positive squares in 3 ways, for example, as 187580416 + 42614784 = 13696^2 + 6528^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 819060 + ... + 819340.

Almost surely, 2230195200 is an apocalyptic number.

230195200 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 230195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286453485).

230195200 is an abundant number, since it is smaller than the sum of its proper divisors (342711770).

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

230195200 is an frugal number, since it uses more digits than its factorization.

230195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 230195200 is about 15172.1850766460. The cubic root of 230195200 is about 612.8658483506.

The spelling of 230195200 in words is "two hundred thirty million, one hundred ninety-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 281 320 400 512 562 640 800 1024 1124 1280 1405 1600 2048 2248 2560 2810 3200 4096 4496 5120 5620 6400 7025 8192 8992 10240 11240 12800 14050 16384 17984 20480 22480 25600 28100 32768 35968 40960 44960 51200 56200 71936 81920 89920 102400 112400 143872 163840 179840 204800 224800 287744 359680 409600 449600 575488 719360 819200 899200 1150976 1438720 1798400 2301952 2877440 3596800 4603904 5754880 7193600 9207808 11509760 14387200 23019520 28774400 46039040 57548800 115097600 230195200