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23414220300 = 22352471799277
BaseRepresentation
bin10101110011100110…
…001010011000001100
32020102202222122000110
4111303212022120030
5340423020022200
614431212000020
71456140405642
oct256346123014
966382878013
1023414220300
119a25798299
124655460010
132291b3c233
1411c1915192
15920881b50
hex57398a60c

23414220300 has 144 divisors (see below), whose sum is σ = 69580546560. Its totient is φ = 6076151040.

The previous prime is 23414220289. The next prime is 23414220301. The reversal of 23414220300 is 302241432.

It is not an unprimeable number, because it can be changed into a prime (23414220301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2519262 + ... + 2528538.

It is an arithmetic number, because the mean of its divisors is an integer number (483198240).

Almost surely, 223414220300 is an apocalyptic number.

23414220300 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 23414220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34790273280).

23414220300 is an abundant number, since it is smaller than the sum of its proper divisors (46166326260).

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

23414220300 is a wasteful number, since it uses less digits than its factorization.

23414220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9520 (or 9513 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23414220300 its reverse (302241432), we get a palindrome (23716461732).

The spelling of 23414220300 in words is "twenty-three billion, four hundred fourteen million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 179 188 235 282 300 358 470 537 564 705 716 895 940 1074 1175 1410 1790 2148 2350 2685 2820 3525 3580 4475 4700 5370 7050 8413 8950 9277 10740 13425 14100 16826 17900 18554 25239 26850 27831 33652 37108 42065 46385 50478 53700 55662 84130 92770 100956 111324 126195 139155 168260 185540 210325 231925 252390 278310 420650 436019 463850 504780 556620 630975 695775 841300 872038 927700 1261950 1308057 1391550 1660583 1744076 2180095 2523900 2616114 2783100 3321166 4360190 4981749 5232228 6540285 6642332 8302915 8720380 9963498 10900475 13080570 16605830 19926996 21800950 24908745 26161140 32701425 33211660 41514575 43601900 49817490 65402850 78047401 83029150 99634980 124543725 130805700 156094802 166058300 234142203 249087450 312189604 390237005 468284406 498174900 780474010 936568812 1170711015 1560948020 1951185025 2341422030 3902370050 4682844060 5853555075 7804740100 11707110150 23414220300