Search a number
-
+
22141004200 = 23527139113777
BaseRepresentation
bin10100100111101101…
…001110100110101000
32010011001012112212121
4110213231032212220
5330321044113300
614101010321024
71412450300440
oct244755164650
963131175777
1022141004200
119432024187
12435ab89174
13211b121423
1411007a7120
15898bd281a
hex527b4e9a8

22141004200 has 96 divisors (see below), whose sum is σ = 59255582400. Its totient is φ = 7536522240.

The previous prime is 22141004147. The next prime is 22141004227. The reversal of 22141004200 is 240014122.

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, 137712 + ... + 251488.

It is an arithmetic number, because the mean of its divisors is an integer number (617245650).

Almost surely, 222141004200 is an apocalyptic number.

22141004200 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 22141004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29627791200).

22141004200 is an abundant number, since it is smaller than the sum of its proper divisors (37114578200).

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

22141004200 is a wasteful number, since it uses less digits than its factorization.

22141004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113939 (or 113930 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22141004200 its reverse (240014122), we get a palindrome (22381018322).

The spelling of 22141004200 in words is "twenty-two billion, one hundred forty-one million, four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 139 140 175 200 278 280 350 556 695 700 973 1112 1390 1400 1946 2780 3475 3892 4865 5560 6950 7784 9730 13900 19460 24325 27800 38920 48650 97300 113777 194600 227554 455108 568885 796439 910216 1137770 1592878 2275540 2844425 3185756 3982195 4551080 5688850 6371512 7964390 11377700 15815003 15928780 19910975 22755400 31630006 31857560 39821950 63260012 79075015 79643900 110705021 126520024 158150030 159287800 221410042 316300060 395375075 442820084 553525105 632600120 790750150 885640168 1107050210 1581500300 2214100420 2767625525 3163000600 4428200840 5535251050 11070502100 22141004200