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55202224 = 24721137173
BaseRepresentation
bin1101001010010…
…1000110110000
310211212120012211
43102211012300
5103112432344
65251101504
71240132300
oct322450660
9124776184
1055202224
1129184280
12165a1894
13b58a24c
14748d600
154ca6334
hex34a51b0

55202224 has 120 divisors (see below), whose sum is σ = 140200848. Its totient is φ = 20805120.

The previous prime is 55202219. The next prime is 55202233. The reversal of 55202224 is 42220255.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 55202195 and 55202204.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 319002 + ... + 319174.

Almost surely, 255202224 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 55202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70100424).

55202224 is an abundant number, since it is smaller than the sum of its proper divisors (84998624).

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

55202224 is a wasteful number, since it uses less digits than its factorization.

55202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 55202224 is about 7429.8199170639. The cubic root of 55202224 is about 380.7607658540.

Adding to 55202224 its reverse (42220255), we get a palindrome (97422479).

It can be divided in two parts, 5520 and 2224, that added together give a square (7744 = 882).

The spelling of 55202224 in words is "fifty-five million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 49 56 74 77 88 98 112 148 154 173 176 196 259 296 308 346 392 407 518 539 592 616 692 784 814 1036 1078 1211 1232 1384 1628 1813 1903 2072 2156 2422 2768 2849 3256 3626 3806 4144 4312 4844 5698 6401 6512 7252 7612 8477 8624 9688 11396 12802 13321 14504 15224 16954 19376 19943 22792 25604 26642 29008 30448 33908 39886 44807 45584 51208 53284 67816 70411 79772 89614 93247 102416 106568 135632 140822 159544 179228 186494 213136 281644 313649 319088 358456 372988 492877 563288 627298 716912 745976 985754 1126576 1254596 1491952 1971508 2509192 3450139 3943016 5018384 6900278 7886032 13800556 27601112 55202224