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223034234100 = 2235219241716189
BaseRepresentation
bin1100111110110111100…
…0000101010011110100
3210022200122021000102220
43033231320011103310
512123233230442400
6250243245402340
722053665465316
oct3175570052364
9708618230386
10223034234100
1186652013207
12372858693b0
13180555065b2
14ab1b3617b6
155c057977a0
hex33ede054f4

223034234100 has 144 divisors (see below), whose sum is σ = 679599211200. Its totient is φ = 56318699520.

The previous prime is 223034234089. The next prime is 223034234117. The reversal of 223034234100 is 1432430322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13768806 + ... + 13784994.

Almost surely, 2223034234100 is an apocalyptic number.

223034234100 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 223034234100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339799605600).

223034234100 is an abundant number, since it is smaller than the sum of its proper divisors (456564977100).

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

223034234100 is a wasteful number, since it uses less digits than its factorization.

223034234100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18642 (or 18635 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 223034234100 its reverse (1432430322), we get a palindrome (224466664422).

The spelling of 223034234100 in words is "two hundred twenty-three billion, thirty-four million, two hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2417 2850 4834 5700 7251 9668 12085 14502 16189 24170 29004 32378 36255 45923 48340 48567 60425 64756 72510 80945 91846 97134 120850 137769 145020 161890 181275 183692 194268 229615 241700 242835 275538 307591 323780 362550 404725 459230 485670 551076 615182 688845 725100 809450 918460 922773 971340 1148075 1214175 1230364 1377690 1537955 1618900 1845546 2296150 2428350 2755380 3075910 3444225 3691092 4592300 4613865 4856700 6151820 6888450 7689775 9227730 13776900 15379550 18455460 23069325 30759100 39128813 46138650 78257626 92277300 117386439 156515252 195644065 234772878 391288130 469545756 586932195 743447447 782576260 978220325 1173864390 1486894894 1956440650 2230342341 2347728780 2934660975 2973789788 3717237235 3912881300 4460684682 5869321950 7434474470 8921369364 11151711705 11738643900 14868948940 18586186175 22303423410 37172372350 44606846820 55758558525 74344744700 111517117050 223034234100