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19228224 = 2631743137
BaseRepresentation
bin100100101011…
…0011001000000
31100011220011110
41021112121000
514410300344
61524043320
7322302651
oct111263100
940156143
1019228224
11a9434a4
126533540
133ca3062
1427a7528
151a4c3b9
hex1256640

19228224 has 112 divisors (see below), whose sum is σ = 55522368. Its totient is φ = 5849088.

The previous prime is 19228211. The next prime is 19228229. The reversal of 19228224 is 42282291.

It is a Cunningham number, because it is equal to 43852-1.

It is a junction number, because it is equal to n+sod(n) for n = 19228191 and 19228200.

It is not an unprimeable number, because it can be changed into a prime (19228229) 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, 140284 + ... + 140420.

Almost surely, 219228224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27761184).

19228224 is an abundant number, since it is smaller than the sum of its proper divisors (36294144).

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

19228224 is a wasteful number, since it uses less digits than its factorization.

19228224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 19228224 is about 4384.9998859749. Note that the first 3 decimals coincide. The cubic root of 19228224 is about 267.9043246512.

The spelling of 19228224 in words is "nineteen million, two hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 129 136 137 172 192 204 258 272 274 344 408 411 516 544 548 688 731 816 822 1032 1088 1096 1376 1462 1632 1644 2064 2192 2193 2329 2752 2924 3264 3288 4128 4384 4386 4658 5848 5891 6576 6987 8256 8768 8772 9316 11696 11782 13152 13974 17544 17673 18632 23392 23564 26304 27948 35088 35346 37264 46784 47128 55896 70176 70692 74528 94256 100147 111792 140352 141384 149056 188512 200294 223584 282768 300441 377024 400588 447168 565536 600882 801176 1131072 1201764 1602352 2403528 3204704 4807056 6409408 9614112 19228224