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230022320 = 24511261389
BaseRepresentation
bin11011011010111…
…01110010110000
3121000211100022012
431231131302300
5432341203240
634454102052
75462105003
oct1555356260
9530740265
10230022320
111089291a0
126504a928
13388694a8
142279953a
15152d9b65
hexdb5dcb0

230022320 has 40 divisors (see below), whose sum is σ = 583422480. Its totient is φ = 83644160.

The previous prime is 230022311. The next prime is 230022329. The reversal of 230022320 is 23220032.

It is an interprime number because it is at equal distance from previous prime (230022311) and next prime (230022329).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 230022295 and 230022304.

It is not an unprimeable number, because it can be changed into a prime (230022329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129815 + ... + 131574.

It is an arithmetic number, because the mean of its divisors is an integer number (14585562).

Almost surely, 2230022320 is an apocalyptic number.

230022320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230022320 is an abundant number, since it is smaller than the sum of its proper divisors (353400160).

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

230022320 is a wasteful number, since it uses less digits than its factorization.

230022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261413 (or 261407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 230022320 is about 15166.4867388595. The cubic root of 230022320 is about 612.7123861544.

Adding to 230022320 its reverse (23220032), we get a palindrome (253242352).

The spelling of 230022320 in words is "two hundred thirty million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 261389 522778 1045556 1306945 2091112 2613890 2875279 4182224 5227780 5750558 10455560 11501116 14376395 20911120 23002232 28752790 46004464 57505580 115011160 230022320