Search a number
-
+
51222024 = 23337191783
BaseRepresentation
bin1100001101100…
…1011000001000
310120101100102000
43003121120020
5101103101044
65025511000
71161244230
oct303313010
9116340360
1051222024
1126a05957
12151a2460
13a7c56b9
146b34cc0
15476bd69
hex30d9608

51222024 has 128 divisors (see below), whose sum is σ = 171264000. Its totient is φ = 13856832.

The previous prime is 51222001. The next prime is 51222047. The reversal of 51222024 is 42022215.

It is an interprime number because it is at equal distance from previous prime (51222001) and next prime (51222047).

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 = 51221988 and 51222006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27837 + ... + 29619.

It is an arithmetic number, because the mean of its divisors is an integer number (1338000).

Almost surely, 251222024 is an apocalyptic number.

51222024 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 51222024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85632000).

51222024 is an abundant number, since it is smaller than the sum of its proper divisors (120041976).

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

51222024 is a wasteful number, since it uses less digits than its factorization.

51222024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1814 counting only the distinct ones).

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

The square root of 51222024 is about 7156.9563363206. The cubic root of 51222024 is about 371.3803419485.

Adding to 51222024 its reverse (42022215), we get a palindrome (93244239).

The spelling of 51222024 in words is "fifty-one million, two hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 1783 2052 2394 3192 3566 3591 4104 4788 5349 7132 7182 9576 10698 12481 14264 14364 16047 21396 24962 28728 32094 33877 37443 42792 48141 49924 64188 67754 74886 96282 99848 101631 112329 128376 135508 149772 192564 203262 224658 237139 271016 299544 304893 336987 385128 406524 449316 474278 609786 673974 711417 813048 898632 914679 948556 1219572 1347948 1422834 1829358 1897112 2134251 2439144 2695896 2845668 3658716 4268502 5691336 6402753 7317432 8537004 12805506 17074008 25611012 51222024