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20818224 = 24327191087
BaseRepresentation
bin100111101101…
…0100100110000
31110011200020100
41033122210300
520312140344
62022112400
7341644350
oct117324460
943150210
1020818224
111082a049
126b7b700
13440b99b
142a9cb60
151c63569
hex13da930

20818224 has 120 divisors (see below), whose sum is σ = 70154240. Its totient is φ = 5629824.

The previous prime is 20818223. The next prime is 20818229. The reversal of 20818224 is 42281802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20818223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18609 + ... + 19695.

Almost surely, 220818224 is an apocalyptic number.

20818224 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 20818224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35077120).

20818224 is an abundant number, since it is smaller than the sum of its proper divisors (49336016).

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

20818224 is a wasteful number, since it uses less digits than its factorization.

20818224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 20818224 is about 4562.6992011308. The cubic root of 20818224 is about 275.0940680943.

The spelling of 20818224 in words is "twenty million, eight hundred eighteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1087 1197 1368 1596 2128 2174 2394 2736 3192 3261 4348 4788 6384 6522 7609 8696 9576 9783 13044 15218 17392 19152 19566 20653 22827 26088 30436 39132 41306 45654 52176 60872 61959 68481 78264 82612 91308 121744 123918 136962 144571 156528 165224 182616 185877 247836 273924 289142 330448 365232 371754 433713 495672 547848 578284 743508 867426 991344 1095696 1156568 1301139 1487016 1734852 2313136 2602278 2974032 3469704 5204556 6939408 10409112 20818224