Search a number
-
+
30232213000 = 2353112249853
BaseRepresentation
bin11100001001111110…
…101111011000001000
32220000221020112201121
4130021332233120020
5443403421304000
621515525125024
72120116366453
oct341176573010
986027215647
1030232213000
1111904329100
125a38859774
132b0a51a742
14166b21449a
15bbe1e7b1a
hex709faf608

30232213000 has 96 divisors (see below), whose sum is σ = 77759561880. Its totient is φ = 10993488000.

The previous prime is 30232212991. The next prime is 30232213001. The reversal of 30232213000 is 31223203.

It can be written as a sum of positive squares in 4 ways, for example, as 17932959396 + 12299253604 = 133914^2 + 110902^2 .

It is not an unprimeable number, because it can be changed into a prime (30232213001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3927 + ... + 245926.

Almost surely, 230232213000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30232213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38879780940).

30232213000 is an abundant number, since it is smaller than the sum of its proper divisors (47527348880).

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

30232213000 is a wasteful number, since it uses less digits than its factorization.

30232213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249896 (or 249871 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 30232213000 its reverse (31223203), we get a palindrome (30263436203).

The spelling of 30232213000 in words is "thirty billion, two hundred thirty-two million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 249853 499706 999412 1249265 1998824 2498530 2748383 4997060 5496766 6246325 9994120 10993532 12492650 13741915 21987064 24985300 27483830 30232213 31231625 49970600 54967660 60464426 62463250 68709575 109935320 120928852 124926500 137419150 151161065 241857704 249853000 274838300 302322130 343547875 549676600 604644260 687095750 755805325 1209288520 1374191500 1511610650 2748383000 3023221300 3779026625 6046442600 7558053250 15116106500 30232213000