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230920900 = 22527734519
BaseRepresentation
bin11011100001110…
…01001011000100
3121002111222220221
431300321023010
5433103432100
634525234124
75502536530
oct1560711304
9532458827
10230920900
11109392321
1265402944
1338ac24b2
1422950bc0
151541601a
hexdc392c4

230920900 has 72 divisors (see below), whose sum is σ = 580657280. Its totient is φ = 78071040.

The previous prime is 230920883. The next prime is 230920901. The reversal of 230920900 is 9029032.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230920901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48841 + ... + 53359.

Almost surely, 2230920900 is an apocalyptic number.

230920900 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 230920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290328640).

230920900 is an abundant number, since it is smaller than the sum of its proper divisors (349736380).

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

230920900 is a wasteful number, since it uses less digits than its factorization.

230920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 230920900 is about 15196.0817318149. The cubic root of 230920900 is about 613.5092011682.

Adding to 230920900 its reverse (9029032), we get a palindrome (239949932).

The spelling of 230920900 in words is "two hundred thirty million, nine hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 511 700 730 1022 1460 1825 2044 2555 3650 4519 5110 7300 9038 10220 12775 18076 22595 25550 31633 45190 51100 63266 90380 112975 126532 158165 225950 316330 329887 451900 632660 659774 790825 1319548 1581650 1649435 2309209 3163300 3298870 4618418 6597740 8247175 9236836 11546045 16494350 23092090 32988700 46184180 57730225 115460450 230920900