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20200224 = 2531123747
BaseRepresentation
bin100110100001…
…1101100100000
31102000021111110
41031003230200
520132401344
62000543320
7333461532
oct115035440
942007443
1020200224
1110447800
126921b40
1342535c5
14297b852
151b903b9
hex1343b20

20200224 has 144 divisors (see below), whose sum is σ = 61133184. Its totient is φ = 5829120.

The previous prime is 20200223. The next prime is 20200237. The reversal of 20200224 is 42200202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200223) 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, 429769 + ... + 429815.

It is an arithmetic number, because the mean of its divisors is an integer number (424536).

Almost surely, 220200224 is an apocalyptic number.

20200224 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 20200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30566592).

20200224 is an abundant number, since it is smaller than the sum of its proper divisors (40932960).

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

20200224 is a wasteful number, since it uses less digits than its factorization.

20200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20200224 is about 4494.4659304527. The cubic root of 20200224 is about 272.3445748357.

Adding to 20200224 its reverse (42200202), we get a palindrome (62400426).

The spelling of 20200224 in words is "twenty million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 47 48 66 74 88 94 96 111 121 132 141 148 176 188 222 242 264 282 296 352 363 376 407 444 484 517 528 564 592 726 752 814 888 968 1034 1056 1128 1184 1221 1452 1504 1551 1628 1739 1776 1936 2068 2256 2442 2904 3102 3256 3478 3552 3872 4136 4477 4512 4884 5217 5687 5808 6204 6512 6956 8272 8954 9768 10434 11374 11616 12408 13024 13431 13912 16544 17061 17908 19129 19536 20868 22748 24816 26862 27824 34122 35816 38258 39072 41736 45496 49632 53724 55648 57387 68244 71632 76516 83472 90992 107448 114774 136488 143264 153032 166944 181984 210419 214896 229548 272976 306064 420838 429792 459096 545952 612128 631257 841676 918192 1262514 1683352 1836384 2525028 3366704 5050056 6733408 10100112 20200224