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2231230200 = 2335211332909
BaseRepresentation
bin1000010011111101…
…1101111011111000
312202111110020102120
42010333131323320
514032143331300
61005223001240
7106202100213
oct20477357370
95674406376
102231230200
11a45520301
12523299220
13297347574
1417248a77a
15d0d3a3a0
hex84fddef8

2231230200 has 96 divisors (see below), whose sum is σ = 6978236400. Its totient is φ = 589711360.

The previous prime is 2231230171. The next prime is 2231230219. The reversal of 2231230200 is 20321322.

It is a super-3 number, since 3×22312302003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2231230200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51346 + ... + 84254.

Almost surely, 22231230200 is an apocalyptic number.

2231230200 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 2231230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489118200).

2231230200 is an abundant number, since it is smaller than the sum of its proper divisors (4747006200).

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

2231230200 is a wasteful number, since it uses less digits than its factorization.

2231230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33041 (or 33032 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2231230200 is about 47235.8994833379. The cubic root of 2231230200 is about 1306.7167552760.

Adding to 2231230200 its reverse (20321322), we get a palindrome (2251551522).

The spelling of 2231230200 in words is "two billion, two hundred thirty-one million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 113 120 150 200 226 300 339 452 565 600 678 904 1130 1356 1695 2260 2712 2825 3390 4520 5650 6780 8475 11300 13560 16950 22600 32909 33900 65818 67800 98727 131636 164545 197454 263272 329090 394908 493635 658180 789816 822725 987270 1316360 1645450 1974540 2468175 3290900 3718717 3949080 4936350 6581800 7437434 9872700 11156151 14874868 18593585 19745400 22312302 29749736 37187170 44624604 55780755 74374340 89249208 92967925 111561510 148748680 185935850 223123020 278903775 371871700 446246040 557807550 743743400 1115615100 2231230200