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51100224 = 2637193197
BaseRepresentation
bin1100001011101…
…1101001000000
310120011011022220
43002323221000
5101040201344
65023131040
71160226150
oct302735100
9116134286
1051100224
112693239a
1215143a80
13a782126
146b02760
154745c19
hex30bba40

51100224 has 112 divisors (see below), whose sum is σ = 156106368. Its totient is φ = 14450688.

The previous prime is 51100213. The next prime is 51100229. The reversal of 51100224 is 42200115.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×511002242 = 5222465785700352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51100229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259294 + ... + 259490.

Almost surely, 251100224 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 51100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78053184).

51100224 is an abundant number, since it is smaller than the sum of its proper divisors (105006144).

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

51100224 is a wasteful number, since it uses less digits than its factorization.

51100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 51100224 is about 7148.4420680313. The cubic root of 51100224 is about 371.0857419348.

Adding to 51100224 its reverse (42200115), we get a palindrome (93300339).

The spelling of 51100224 in words is "fifty-one million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 193 197 224 336 386 394 448 579 591 672 772 788 1158 1182 1344 1351 1379 1544 1576 2316 2364 2702 2758 3088 3152 4053 4137 4632 4728 5404 5516 6176 6304 8106 8274 9264 9456 10808 11032 12352 12608 16212 16548 18528 18912 21616 22064 32424 33096 37056 37824 38021 43232 44128 64848 66192 76042 86464 88256 114063 129696 132384 152084 228126 259392 264768 266147 304168 456252 532294 608336 798441 912504 1064588 1216672 1596882 1825008 2129176 2433344 3193764 3650016 4258352 6387528 7300032 8516704 12775056 17033408 25550112 51100224