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53332224 = 2831159107
BaseRepresentation
bin1100101101110…
…0100100000000
310201100120001120
43023130210000
5102123112344
65143032240
71215213351
oct313344400
9121316046
1053332224
1128117320
1215a3b680
13b08403a
147123d28
154a37219
hex32dc900

53332224 has 144 divisors (see below), whose sum is σ = 158941440. Its totient is φ = 15738880.

The previous prime is 53332217. The next prime is 53332241. The reversal of 53332224 is 42223335.

It is a super-2 number, since 2×533322242 = 5688652233572352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 53332194 and 53332203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498379 + ... + 498485.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 253332224 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 53332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79470720).

53332224 is an abundant number, since it is smaller than the sum of its proper divisors (105609216).

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

53332224 is a wasteful number, since it uses less digits than its factorization.

53332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its digits is 4320, while the sum is 24.

The square root of 53332224 is about 7302.8914821460. The cubic root of 53332224 is about 376.4118017277.

Adding to 53332224 its reverse (42223335), we get a palindrome (95555559).

Subtracting from 53332224 its reverse (42223335), we obtain a square (11108889 = 33332).

It can be divided in two parts, 5333 and 2224, that added together give a palindrome (7557).

The spelling of 53332224 in words is "fifty-three million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 107 118 128 132 176 177 192 214 236 256 264 321 352 354 384 428 472 528 642 649 704 708 768 856 944 1056 1177 1284 1298 1408 1416 1712 1888 1947 2112 2354 2568 2596 2816 2832 3424 3531 3776 3894 4224 4708 5136 5192 5664 6313 6848 7062 7552 7788 8448 9416 10272 10384 11328 12626 13696 14124 15104 15576 18832 18939 20544 20768 22656 25252 27392 28248 31152 37664 37878 41088 41536 45312 50504 56496 62304 69443 75328 75756 82176 83072 101008 112992 124608 138886 150656 151512 166144 202016 208329 225984 249216 277772 301312 303024 404032 416658 451968 498432 555544 606048 808064 833316 903936 1111088 1212096 1616128 1666632 2222176 2424192 3333264 4444352 4848384 6666528 8888704 13333056 17777408 26666112 53332224