Search a number
-
+
19250200 = 2352293319
BaseRepresentation
bin100100101101…
…1110000011000
31100020000022101
41021123300120
514412001300
61524333144
7322424014
oct111336030
940200271
1019250200
11a958a62
1265441b4
133cb0068
1427b1544
151a53b6a
hex125bc18

19250200 has 48 divisors (see below), whose sum is σ = 46314000. Its totient is φ = 7432320.

The previous prime is 19250177. The next prime is 19250201. The reversal of 19250200 is 205291.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19250201) 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, 4141 + ... + 7459.

It is an arithmetic number, because the mean of its divisors is an integer number (964875).

Almost surely, 219250200 is an apocalyptic number.

19250200 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 19250200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23157000).

19250200 is an abundant number, since it is smaller than the sum of its proper divisors (27063800).

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

19250200 is a wasteful number, since it uses less digits than its factorization.

19250200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 19250200 is about 4387.5049857522. The cubic root of 19250200 is about 268.0063487024.

Adding to 19250200 its reverse (205291), we get a palindrome (19455491).

The spelling of 19250200 in words is "nineteen million, two hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 3319 5800 6638 13276 16595 26552 33190 66380 82975 96251 132760 165950 192502 331900 385004 481255 663800 770008 962510 1925020 2406275 3850040 4812550 9625100 19250200