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230336640 = 2732539989
BaseRepresentation
bin11011011101010…
…10100010000000
3121001102022110200
431232222202000
5432431233030
634504525200
75464554252
oct1556524200
9531368420
10230336640
11109023366
1265180800
1338949591
142283bcd2
151534cd60
hexdbaa880

230336640 has 96 divisors (see below), whose sum is σ = 795401100. Its totient is φ = 61421568.

The previous prime is 230336627. The next prime is 230336657. The reversal of 230336640 is 46633032.

It can be written as a sum of positive squares in 2 ways, for example, as 215032896 + 15303744 = 14664^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

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, 14235 + ... + 25754.

Almost surely, 2230336640 is an apocalyptic number.

230336640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230336640 is an abundant number, since it is smaller than the sum of its proper divisors (565064460).

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

230336640 is a wasteful number, since it uses less digits than its factorization.

230336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40014 (or 39999 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 230336640 is about 15176.8455220444. The cubic root of 230336640 is about 612.9913447377.

Adding to 230336640 its reverse (46633032), we get a palindrome (276969672).

The spelling of 230336640 in words is "two hundred thirty million, three hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 39989 79978 119967 159956 199945 239934 319912 359901 399890 479868 599835 639824 719802 799780 959736 1199670 1279648 1439604 1599560 1799505 1919472 2399340 2559296 2879208 3199120 3599010 3838944 4798680 5118592 5758416 6398240 7198020 7677888 9597360 11516832 12796480 14396040 15355776 19194720 23033664 25592960 28792080 38389440 46067328 57584160 76778880 115168320 230336640