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55221144 = 2331119101109
BaseRepresentation
bin1101001010100…
…1101110011000
310211220112011120
43102221232120
5103114034034
65251325240
71240241406
oct322515630
9124815146
1055221144
1129197510
12165b0820
13b595a44
147496476
154cabc49
hex34a9b98

55221144 has 128 divisors (see below), whose sum is σ = 161568000. Its totient is φ = 15552000.

The previous prime is 55221143. The next prime is 55221161. The reversal of 55221144 is 44112255.

55221144 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 (24).

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55221143) 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 31 ways as a sum of consecutive naturals, for example, 506562 + ... + 506670.

It is an arithmetic number, because the mean of its divisors is an integer number (1262250).

Almost surely, 255221144 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 55221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80784000).

55221144 is an abundant number, since it is smaller than the sum of its proper divisors (106346856).

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

55221144 is a wasteful number, since it uses less digits than its factorization.

55221144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 55221144 is about 7431.0930555336. The cubic root of 55221144 is about 380.8042615099.

Adding to 55221144 its reverse (44112255), we get a palindrome (99333399).

Subtracting from 55221144 its reverse (44112255), we obtain a square (11108889 = 33332).

It can be divided in two parts, 552211 and 44, that added together give a palindrome (552255).

The spelling of 55221144 in words is "fifty-five million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 101 109 114 132 152 202 209 218 228 264 303 327 404 418 436 456 606 627 654 808 836 872 1111 1199 1212 1254 1308 1672 1919 2071 2222 2398 2424 2508 2616 3333 3597 3838 4142 4444 4796 5016 5757 6213 6666 7194 7676 8284 8888 9592 11009 11514 12426 13332 14388 15352 16568 21109 22018 22781 23028 24852 26664 28776 33027 42218 44036 45562 46056 49704 63327 66054 68343 84436 88072 91124 121099 126654 132108 136686 168872 182248 209171 242198 253308 264216 273372 363297 418342 484396 506616 546744 627513 726594 836684 968792 1255026 1453188 1673368 2300881 2510052 2906376 4601762 5020104 6902643 9203524 13805286 18407048 27610572 55221144