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55223400 = 23352312969
BaseRepresentation
bin1101001010101…
…0010001101000
310211220122021010
43102222101220
5103114122100
65251343520
71240251111
oct322522150
9124818233
1055223400
1129199181
12165b1ba0
13b596a8b
147497208
154cac750
hex34aa468

55223400 has 96 divisors (see below), whose sum is σ = 176774400. Its totient is φ = 14246400.

The previous prime is 55223381. The next prime is 55223401. The reversal of 55223400 is 432255.

It is not an unprimeable number, because it can be changed into a prime (55223401) by changing a digit.

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, 17116 + ... + 20084.

It is an arithmetic number, because the mean of its divisors is an integer number (1841400).

Almost surely, 255223400 is an apocalyptic number.

55223400 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 55223400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88387200).

55223400 is an abundant number, since it is smaller than the sum of its proper divisors (121551000).

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

55223400 is a wasteful number, since it uses less digits than its factorization.

55223400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 55223400 is about 7431.2448486105. The cubic root of 55223400 is about 380.8094472211.

Adding to 55223400 its reverse (432255), we get a palindrome (55655655).

The spelling of 55223400 in words is "fifty-five million, two hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 465 600 620 744 775 930 1240 1550 1860 2325 2969 3100 3720 4650 5938 6200 8907 9300 11876 14845 17814 18600 23752 29690 35628 44535 59380 71256 74225 89070 92039 118760 148450 178140 184078 222675 276117 296900 356280 368156 445350 460195 552234 593800 736312 890700 920390 1104468 1380585 1781400 1840780 2208936 2300975 2761170 3681560 4601950 5522340 6902925 9203900 11044680 13805850 18407800 27611700 55223400