Search a number
-
+
22423400300 = 225272910512
BaseRepresentation
bin10100111000100010…
…011110111101101100
32010212201120202111102
4110320202132331230
5331410342302200
614145015142232
71422446520620
oct247042367554
963781522442
1022423400300
119567474594
124419674978
132164797602
14112a0b7180
158b38b56d5
hex53889ef6c

22423400300 has 108 divisors (see below), whose sum is σ = 57582408240. Its totient is φ = 7415856000.

The previous prime is 22423400287. The next prime is 22423400309. The reversal of 22423400300 is 300432422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22423400309) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 21334775 + ... + 21335825.

Almost surely, 222423400300 is an apocalyptic number.

22423400300 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 22423400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28791204120).

22423400300 is an abundant number, since it is smaller than the sum of its proper divisors (35159007940).

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

22423400300 is a wasteful number, since it uses less digits than its factorization.

22423400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 22423400300 its reverse (300432422), we get a palindrome (22723832722).

The spelling of 22423400300 in words is "twenty-two billion, four hundred twenty-three million, four hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1051 1450 2030 2102 2900 4060 4204 5075 5255 7357 10150 10510 14714 20300 21020 26275 29428 30479 36785 52550 60958 73570 105100 121916 147140 152395 183925 213353 304790 367850 426706 609580 735700 761975 853412 1066765 1104601 1523950 2133530 2209202 3047900 4267060 4418404 5333825 5523005 7732207 10667650 11046010 15464414 21335300 22092020 27615025 30928828 32033429 38661035 55230050 64066858 77322070 110460100 128133716 154644140 160167145 193305175 224234003 320334290 386610350 448468006 640668580 773220700 800835725 896936012 1121170015 1601671450 2242340030 3203342900 4484680060 5605850075 11211700150 22423400300