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55322300 = 225211192647
BaseRepresentation
bin1101001100001…
…0011010111100
310212002122221002
43103002122330
5103130303200
65253425432
71241142335
oct323023274
9125078832
1055322300
1129256510
121663b278
13b5ccab7
1474c128c
154ccbbd5
hex34c26bc

55322300 has 72 divisors (see below), whose sum is σ = 137907840. Its totient is φ = 19051200.

The previous prime is 55322287. The next prime is 55322327. The reversal of 55322300 is 322355.

55322300 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 (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19577 + ... + 22223.

Almost surely, 255322300 is an apocalyptic number.

55322300 is a gapful number since it is divisible by the number (50) 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 55322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68953920).

55322300 is an abundant number, since it is smaller than the sum of its proper divisors (82585540).

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

55322300 is a wasteful number, since it uses less digits than its factorization.

55322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 55322300 is about 7437.8962079341. The cubic root of 55322300 is about 381.0366431416.

Adding to 55322300 its reverse (322355), we get a palindrome (55644655).

Subtracting from 55322300 its reverse (322355), we obtain a palindrome (54999945).

The spelling of 55322300 in words is "fifty-five million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 2647 4180 5225 5294 10450 10588 13235 20900 26470 29117 50293 52940 58234 66175 100586 116468 132350 145585 201172 251465 264700 291170 502930 553223 582340 727925 1005860 1106446 1257325 1455850 2212892 2514650 2766115 2911700 5029300 5532230 11064460 13830575 27661150 55322300