Search a number
-
+
22320201300 = 22352471679479
BaseRepresentation
bin10100110010011000…
…110011111001010100
32010121112101201002020
4110302120303321110
5331202432420200
614130451213140
71420054403115
oct246230637124
963545351066
1022320201300
119514198661
1243aaba71b0
1321492a3a07
14111a4d220c
158a97ccea0
hex532633e54

22320201300 has 144 divisors (see below), whose sum is σ = 66355752960. Its totient is φ = 5789920640.

The previous prime is 22320201181. The next prime is 22320201313. The reversal of 22320201300 is 310202322.

It is a super-3 number, since 3×223202013003 (a number of 32 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 22320201300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2349961 + ... + 2359439.

It is an arithmetic number, because the mean of its divisors is an integer number (460803840).

Almost surely, 222320201300 is an apocalyptic number.

22320201300 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 22320201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33177876480).

22320201300 is an abundant number, since it is smaller than the sum of its proper divisors (44035551660).

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

22320201300 is a wasteful number, since it uses less digits than its factorization.

22320201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9710 (or 9703 counting only the distinct ones).

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

Adding to 22320201300 its reverse (310202322), we get a palindrome (22630403622).

The spelling of 22320201300 in words is "twenty-two billion, three hundred twenty million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 167 188 235 282 300 334 470 501 564 668 705 835 940 1002 1175 1410 1670 2004 2350 2505 2820 3340 3525 4175 4700 5010 7050 7849 8350 9479 10020 12525 14100 15698 16700 18958 23547 25050 28437 31396 37916 39245 47094 47395 50100 56874 78490 94188 94790 113748 117735 142185 156980 189580 196225 235470 236975 284370 392450 445513 470940 473950 568740 588675 710925 784900 891026 947900 1177350 1336539 1421850 1582993 1782052 2227565 2354700 2673078 2843700 3165986 4455130 4748979 5346156 6331972 6682695 7914965 8910260 9497958 11137825 13365390 15829930 18995916 22275650 23744895 26730780 31659860 33413475 39574825 44551300 47489790 66826950 74400671 79149650 94979580 118724475 133653900 148801342 158299300 223202013 237448950 297602684 372003355 446404026 474897900 744006710 892808052 1116010065 1488013420 1860016775 2232020130 3720033550 4464040260 5580050325 7440067100 11160100650 22320201300