Search a number
-
+
20368224 = 2532197359
BaseRepresentation
bin100110110110…
…0101101100000
31102022210221200
41031230231200
520203240344
62004321200
7335061402
oct115545540
942283850
1020368224
1110551a48
1269a3200
1342b1c06
1429c2b72
151bc5069
hex136cb60

20368224 has 72 divisors (see below), whose sum is σ = 58378320. Its totient is φ = 6736128.

The previous prime is 20368223. The next prime is 20368253. The reversal of 20368224 is 42286302.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20368223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56557 + ... + 56915.

It is an arithmetic number, because the mean of its divisors is an integer number (810810).

Almost surely, 220368224 is an apocalyptic number.

20368224 is a gapful number since it is divisible by the number (24) 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 20368224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29189160).

20368224 is an abundant number, since it is smaller than the sum of its proper divisors (38010096).

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

20368224 is a wasteful number, since it uses less digits than its factorization.

20368224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20368224 is about 4513.1168830421. The cubic root of 20368224 is about 273.0974976802.

The spelling of 20368224 in words is "twenty million, three hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 197 288 359 394 591 718 788 1077 1182 1436 1576 1773 2154 2364 2872 3152 3231 3546 4308 4728 5744 6304 6462 7092 8616 9456 11488 12924 14184 17232 18912 25848 28368 34464 51696 56736 70723 103392 141446 212169 282892 424338 565784 636507 848676 1131568 1273014 1697352 2263136 2546028 3394704 5092056 6789408 10184112 20368224