Search a number
-
+
2232232300 = 2252672111579
BaseRepresentation
bin1000010100001101…
…0010100101101100
312202120100011001101
42011003102211230
514032422413200
61005300252444
7106213442614
oct20503224554
95676304041
102232232300
11a46045191
125236a1124
1329760871c
1417266ba44
15d0e8726a
hex850d296c

2232232300 has 72 divisors (see below), whose sum is σ = 4942669760. Its totient is φ = 874843200.

The previous prime is 2232232291. The next prime is 2232232337. The reversal of 2232232300 is 32322322.

It is a super-3 number, since 3×22322323003 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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, 1412911 + ... + 1414489.

Almost surely, 22232232300 is an apocalyptic number.

2232232300 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 2232232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471334880).

2232232300 is an abundant number, since it is smaller than the sum of its proper divisors (2710437460).

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

2232232300 is a wasteful number, since it uses less digits than its factorization.

2232232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 2232232300 is about 47246.5056908974. The cubic root of 2232232300 is about 1306.9123521374.

Adding to 2232232300 its reverse (32322322), we get a palindrome (2264554622).

The spelling of 2232232300 in words is "two billion, two hundred thirty-two million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 211 268 335 422 670 844 1055 1340 1579 1675 2110 3158 3350 4220 5275 6316 6700 7895 10550 14137 15790 21100 28274 31580 39475 56548 70685 78950 105793 141370 157900 211586 282740 333169 353425 423172 528965 666338 706850 1057930 1332676 1413700 1665845 2115860 2644825 3331690 5289650 6663380 8329225 10579300 16658450 22322323 33316900 44644646 89289292 111611615 223223230 446446460 558058075 1116116150 2232232300