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19224912 = 2437291973
BaseRepresentation
bin100100101010…
…1100101010000
31100011201121210
41021111211100
514410144122
61524020120
7322260210
oct111254520
940151553
1019224912
11a940a63
126531640
133ca16b5
1427a6240
151a4b40c
hex1255950

19224912 has 80 divisors (see below), whose sum is σ = 58746240. Its totient is φ = 5300736.

The previous prime is 19224911. The next prime is 19224917. The reversal of 19224912 is 21942291.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 19224912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19224911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8758 + ... + 10730.

It is an arithmetic number, because the mean of its divisors is an integer number (734328).

Almost surely, 219224912 is an apocalyptic number.

19224912 is a gapful number since it is divisible by the number (12) 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 19224912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29373120).

19224912 is an abundant number, since it is smaller than the sum of its proper divisors (39521328).

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

19224912 is a wasteful number, since it uses less digits than its factorization.

19224912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2014 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 19224912 is about 4384.6222186182. The cubic root of 19224912 is about 267.8889418807. Note that the first 3 decimals are identical.

The spelling of 19224912 in words is "nineteen million, two hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 1973 2436 3248 3946 4872 5919 7892 9744 11838 13811 15784 23676 27622 31568 41433 47352 55244 57217 82866 94704 110488 114434 165732 171651 220976 228868 331464 343302 400519 457736 662928 686604 801038 915472 1201557 1373208 1602076 2403114 2746416 3204152 4806228 6408304 9612456 19224912