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50212224 = 273429167
BaseRepresentation
bin1011111110001…
…0110110000000
310111111001020000
42333202312000
5100323242344
64552120000
71146540216
oct277426600
9114431200
1050212224
1126386207
1214996000
13a530b9a
146950cb6
15461ca69
hex2fe2d80

50212224 has 160 divisors (see below), whose sum is σ = 155509200. Its totient is φ = 16063488.

The previous prime is 50212213. The next prime is 50212229. The reversal of 50212224 is 42221205.

50212224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 50212197 and 50212206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50212229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300589 + ... + 300755.

Almost surely, 250212224 is an apocalyptic number.

50212224 is a gapful number since it is divisible by the number (54) 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 50212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77754600).

50212224 is an abundant number, since it is smaller than the sum of its proper divisors (105296976).

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

50212224 is a wasteful number, since it uses less digits than its factorization.

50212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 50212224 is about 7086.0584248226. The cubic root of 50212224 is about 368.9236407533.

Adding to 50212224 its reverse (42221205), we get a palindrome (92433429).

The spelling of 50212224 in words is "fifty million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 167 174 192 216 232 261 288 324 334 348 384 432 464 501 522 576 648 668 696 783 864 928 1002 1044 1152 1296 1336 1392 1503 1566 1728 1856 2004 2088 2349 2592 2672 2784 3006 3132 3456 3712 4008 4176 4509 4698 4843 5184 5344 5568 6012 6264 8016 8352 9018 9396 9686 10368 10688 11136 12024 12528 13527 14529 16032 16704 18036 18792 19372 21376 24048 25056 27054 29058 32064 33408 36072 37584 38744 43587 48096 50112 54108 58116 64128 72144 75168 77488 87174 96192 100224 108216 116232 130761 144288 150336 154976 174348 192384 216432 232464 261522 288576 300672 309952 348696 392283 432864 464928 523044 577152 619904 697392 784566 865728 929856 1046088 1394784 1569132 1731456 1859712 2092176 2789568 3138264 4184352 5579136 6276528 8368704 12553056 16737408 25106112 50212224