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54220100 = 22521124481
BaseRepresentation
bin1100111011010…
…1010101000100
310210000122222212
43032311111010
5102340020400
65214042552
71225602044
oct316652504
9123018885
1054220100
1128673400
12161a9458
13b3051cc
1472b5724
154b60335
hex33b5544

54220100 has 54 divisors (see below), whose sum is σ = 129355002. Its totient is φ = 19712000.

The previous prime is 54220087. The next prime is 54220139. The reversal of 54220100 is 102245.

54220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 8305924 + 45914176 = 2882^2 + 6776^2 .

It is a super-5 number, since 5×542201005 (a number of 40 digits) contains 55555 as substring.

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 17 ways as a sum of consecutive naturals, for example, 9860 + ... + 14340.

It is an arithmetic number, because the mean of its divisors is an integer number (2395463).

Almost surely, 254220100 is an apocalyptic number.

54220100 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 54220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64677501).

54220100 is an abundant number, since it is smaller than the sum of its proper divisors (75134902).

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

54220100 is a wasteful number, since it uses less digits than its factorization.

54220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4517 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 54220100 is about 7363.4299073190. The cubic root of 54220100 is about 378.4891533218.

Adding to 54220100 its reverse (102245), we get a palindrome (54322345).

The spelling of 54220100 in words is "fifty-four million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 4481 6050 8962 12100 17924 22405 44810 49291 89620 98582 112025 197164 224050 246455 448100 492910 542201 985820 1084402 1232275 2168804 2464550 2711005 4929100 5422010 10844020 13555025 27110050 54220100