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22040100 = 223552907
BaseRepresentation
bin101010000010…
…0111000100100
31112110202100000
41110010320210
521120240400
62104221300
7355223565
oct124047044
945422300
1022040100
1111494065
12746a830
134748ba4
142cda16c
151e05600
hex1504e24

22040100 has 108 divisors (see below), whose sum is σ = 71721104. Its totient is φ = 5870880.

The previous prime is 22040071. The next prime is 22040107. The reversal of 22040100 is 104022.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22040107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23847 + ... + 24753.

Almost surely, 222040100 is an apocalyptic number.

22040100 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 22040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35860552).

22040100 is an abundant number, since it is smaller than the sum of its proper divisors (49681004).

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

22040100 is a wasteful number, since it uses less digits than its factorization.

22040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22040100 is about 4694.6884880682. The cubic root of 22040100 is about 280.3740748503.

Adding to 22040100 its reverse (104022), we get a palindrome (22144122).

The spelling of 22040100 in words is "twenty-two million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 907 972 1215 1350 1620 1814 2025 2430 2700 2721 3628 4050 4535 4860 5442 6075 8100 8163 9070 10884 12150 13605 16326 18140 22675 24300 24489 27210 32652 40815 45350 48978 54420 68025 73467 81630 90700 97956 122445 136050 146934 163260 204075 220401 244890 272100 293868 367335 408150 440802 489780 612225 734670 816300 881604 1102005 1224450 1469340 1836675 2204010 2448900 3673350 4408020 5510025 7346700 11020050 22040100