Search a number
-
+
22123404200 = 23523110313461
BaseRepresentation
bin10100100110101010…
…000101101110101000
32010002211002101012202
4110212222011232220
5330302042413300
614055141155332
71412144555462
oct244652055650
963084071182
1022123404200
1194230a3027
1243550bbb48
13211759b521
1410dc305132
158973a7ad5
hex526a85ba8

22123404200 has 96 divisors (see below), whose sum is σ = 53163025920. Its totient is φ = 8553120000.

The previous prime is 22123404181. The next prime is 22123404211. The reversal of 22123404200 is 240432122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6390470 + ... + 6393930.

It is an arithmetic number, because the mean of its divisors is an integer number (553781520).

Almost surely, 222123404200 is an apocalyptic number.

22123404200 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 22123404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26581512960).

22123404200 is an abundant number, since it is smaller than the sum of its proper divisors (31039621720).

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

22123404200 is a wasteful number, since it uses less digits than its factorization.

22123404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4530 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22123404200 its reverse (240432122), we get a palindrome (22363836322).

The spelling of 22123404200 in words is "twenty-two billion, one hundred twenty-three million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 1031 1240 1550 2062 3100 3461 4124 5155 6200 6922 8248 10310 13844 17305 20620 25775 27688 31961 34610 41240 51550 63922 69220 86525 103100 107291 127844 138440 159805 173050 206200 214582 255688 319610 346100 429164 536455 639220 692200 799025 858328 1072910 1278440 1598050 2145820 2682275 3196100 3568291 4291640 5364550 6392200 7136582 10729100 14273164 17841455 21458200 28546328 35682910 71365820 89207275 110617021 142731640 178414550 221234042 356829100 442468084 553085105 713658200 884936168 1106170210 2212340420 2765425525 4424680840 5530851050 11061702100 22123404200