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55023300 = 2234526793
BaseRepresentation
bin1101000111100…
…1011011000100
310211112110210000
43101321123010
5103041221200
65243201300
71235455533
oct321713304
9124473700
1055023300
1129071902
1216516230
13b526987
14744431a
154c6d300
hex34796c4

55023300 has 90 divisors (see below), whose sum is σ = 178390058. Its totient is φ = 14670720.

The previous prime is 55023299. The next prime is 55023307. The reversal of 55023300 is 332055.

55023300 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 26244 + 54997056 = 162^2 + 7416^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (55023307) 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 29 ways as a sum of consecutive naturals, for example, 4704 + ... + 11496.

Almost surely, 255023300 is an apocalyptic number.

55023300 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 55023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89195029).

55023300 is an abundant number, since it is smaller than the sum of its proper divisors (123366758).

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

55023300 is a wasteful number, since it uses less digits than its factorization.

55023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6819 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 55023300 is about 7417.7692064394. The cubic root of 55023300 is about 380.3489407929.

Adding to 55023300 its reverse (332055), we get a palindrome (55355355).

The spelling of 55023300 in words is "fifty-five million, twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 6793 8100 13586 20379 27172 33965 40758 61137 67930 81516 101895 122274 135860 169825 183411 203790 244548 305685 339650 366822 407580 509475 550233 611370 679300 733644 917055 1018950 1100466 1222740 1528425 1834110 2037900 2200932 2751165 3056850 3668220 4585275 5502330 6113700 9170550 11004660 13755825 18341100 27511650 55023300