Search a number
-
+
30022330000 = 245413230941
BaseRepresentation
bin11011111101011110…
…000110011010010000
32212111022022101101011
4123331132012122100
5442441204030000
621443030420304
72111660410615
oct337536063220
985438271334
1030022330000
1111806905983
12599a501694
132aa5bb2c10
14164b3bc50c
15baaa8a2ba
hex6fd786690

30022330000 has 100 divisors (see below), whose sum is σ = 78278714668. Its totient is φ = 11085120000.

The previous prime is 30022329979. The next prime is 30022330057. The reversal of 30022330000 is 3322003.

It can be written as a sum of positive squares in 10 ways, for example, as 29964994816 + 57335184 = 173104^2 + 7572^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14530 + ... + 245470.

Almost surely, 230022330000 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 30022330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39139357334).

30022330000 is an abundant number, since it is smaller than the sum of its proper divisors (48256384668).

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

30022330000 is a wasteful number, since it uses less digits than its factorization.

30022330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230982 (or 230961 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

Adding to 30022330000 its reverse (3322003), we get a palindrome (30025652003).

The spelling of 30022330000 in words is "thirty billion, twenty-two million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 2000 2500 2600 3250 5000 5200 6500 8125 10000 13000 16250 26000 32500 65000 130000 230941 461882 923764 1154705 1847528 2309410 3002233 3695056 4618820 5773525 6004466 9237640 11547050 12008932 15011165 18475280 23094100 24017864 28867625 30022330 46188200 48035728 57735250 60044660 75055825 92376400 115470500 120089320 144338125 150111650 230941000 240178640 288676250 300223300 375279125 461882000 577352500 600446600 750558250 1154705000 1200893200 1501116500 1876395625 2309410000 3002233000 3752791250 6004466000 7505582500 15011165000 30022330000