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19228900 = 2252375197
BaseRepresentation
bin100100101011…
…0100011100100
31100011221002111
41021112203210
514410311100
61524050404
7322304635
oct111264344
940157074
1019228900
11a943a59
126533a04
133ca3462
1427a788c
151a4c6ba
hex12568e4

19228900 has 36 divisors (see below), whose sum is σ = 42862708. Its totient is φ = 7482240.

The previous prime is 19228879. The next prime is 19228907. The reversal of 19228900 is 982291.

It can be written as a sum of positive squares in 6 ways, for example, as 79524 + 19149376 = 282^2 + 4376^2 .

It is not an unprimeable number, because it can be changed into a prime (19228907) 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, 1102 + ... + 6298.

Almost surely, 219228900 is an apocalyptic number.

19228900 is a gapful number since it is divisible by the number (10) 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 19228900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21431354).

19228900 is an abundant number, since it is smaller than the sum of its proper divisors (23633808).

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

19228900 is a wasteful number, since it uses less digits than its factorization.

19228900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 19228900 is about 4385.0769662573. The cubic root of 19228900 is about 267.9074641542.

It can be divided in two parts, 192 and 28900, that added together give a palindrome (29092).

The spelling of 19228900 in words is "nineteen million, two hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 5197 10394 20788 25985 51970 103940 129925 192289 259850 384578 519700 769156 961445 1922890 3845780 4807225 9614450 19228900