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230021120 = 211573209
BaseRepresentation
bin11011011010111…
…01100000000000
3121000211021122202
431231131200000
5432341133440
634454052332
75462101340
oct1555354000
9530737582
10230021120
111089282aa
126504a0a8
1338868a94
1422798d20
15152d9615
hexdb5d800

230021120 has 96 divisors (see below), whose sum is σ = 630957600. Its totient is φ = 78839808.

The previous prime is 230021089. The next prime is 230021131. The reversal of 230021120 is 21120032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70076 + ... + 73284.

It is an arithmetic number, because the mean of its divisors is an integer number (6572475).

Almost surely, 2230021120 is an apocalyptic number.

230021120 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 230021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315478800).

230021120 is an abundant number, since it is smaller than the sum of its proper divisors (400936480).

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

230021120 is an equidigital number, since it uses as much as digits as its factorization.

230021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 230021120 is about 15166.4471778990. The cubic root of 230021120 is about 612.7113206692.

Adding to 230021120 its reverse (21120032), we get a palindrome (251141152).

The spelling of 230021120 in words is "two hundred thirty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3209 3584 4480 5120 6418 7168 8960 10240 12836 14336 16045 17920 22463 25672 32090 35840 44926 51344 64180 71680 89852 102688 112315 128360 179704 205376 224630 256720 359408 410752 449260 513440 718816 821504 898520 1026880 1437632 1643008 1797040 2053760 2875264 3286016 3594080 4107520 5750528 6572032 7188160 8215040 11501056 14376320 16430080 23002112 28752640 32860160 46004224 57505280 115010560 230021120