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22026100 = 2252375953
BaseRepresentation
bin101010000000…
…1011101110100
31112110001010111
41110001131310
521114313400
62104032404
7355135015
oct124013564
945401114
1022026100
1111484598
127462704
1347426c5
142cd500c
151e013ba
hex1501774

22026100 has 36 divisors (see below), whose sum is σ = 49096684. Its totient is φ = 8570880.

The previous prime is 22026083. The next prime is 22026107. The reversal of 22026100 is 162022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1468944 + 20557156 = 1212^2 + 4534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22026107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 724 + ... + 6676.

Almost surely, 222026100 is an apocalyptic number.

22026100 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 22026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24548342).

22026100 is an abundant number, since it is smaller than the sum of its proper divisors (27070584).

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

22026100 is a wasteful number, since it uses less digits than its factorization.

22026100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 5997 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 22026100 is about 4693.1972044652. The cubic root of 22026100 is about 280.3146971939.

Adding to 22026100 its reverse (162022), we get a palindrome (22188122).

The spelling of 22026100 in words is "twenty-two million, twenty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 5953 11906 23812 29765 59530 119060 148825 220261 297650 440522 595300 881044 1101305 2202610 4405220 5506525 11013050 22026100