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55002200 = 235211231087
BaseRepresentation
bin1101000111010…
…0010001011000
310211111101211112
43101310101120
5103040032300
65242515452
71235340161
oct321642130
9124441745
1055002200
1129057a70
1216505b88
13b51a1a6
14743a768
154c66e35
hex3474458

55002200 has 96 divisors (see below), whose sum is σ = 145704960. Its totient is φ = 19113600.

The previous prime is 55002179. The next prime is 55002221. The reversal of 55002200 is 220055.

It is an interprime number because it is at equal distance from previous prime (55002179) and next prime (55002221).

It is a zygodrome in base 10.

It is a congruent number.

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, 50057 + ... + 51143.

It is an arithmetic number, because the mean of its divisors is an integer number (1517760).

Almost surely, 255002200 is an apocalyptic number.

55002200 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 55002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72852480).

55002200 is an abundant number, since it is smaller than the sum of its proper divisors (90702760).

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

55002200 is a wasteful number, since it uses less digits than its factorization.

55002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 55002200 is about 7416.3468095822. The cubic root of 55002200 is about 380.3003166118.

Adding to 55002200 its reverse (220055), we get a palindrome (55222255).

The spelling of 55002200 in words is "fifty-five million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1087 1100 1150 1265 2024 2174 2200 2300 2530 4348 4600 5060 5435 6325 8696 10120 10870 11957 12650 21740 23914 25001 25300 27175 43480 47828 50002 50600 54350 59785 95656 100004 108700 119570 125005 200008 217400 239140 250010 275011 298925 478280 500020 550022 597850 625025 1000040 1100044 1195700 1250050 1375055 2200088 2391400 2500100 2750110 5000200 5500220 6875275 11000440 13750550 27501100 55002200