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5140224500 = 2253102110069
BaseRepresentation
bin1001100100110000…
…11001100111110100
3111021020020110102012
410302120121213310
541011344141000
62210020503352
7241244121155
oct46230314764
914236213365
105140224500
1121a8582824
12bb554ab58
1363bc17178
1436a96392c
15201404735
hex1326199f4

5140224500 has 48 divisors (see below), whose sum is σ = 11238361680. Its totient is φ = 2053872000.

The previous prime is 5140224497. The next prime is 5140224503. The reversal of 5140224500 is 54220415.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5140224497) and next prime (5140224503).

It can be written as a sum of positive squares in 8 ways, for example, as 2098922596 + 3041301904 = 45814^2 + 55148^2 .

It is a super-3 number, since 3×51402245003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140224503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505466 + ... + 515534.

It is an arithmetic number, because the mean of its divisors is an integer number (234132535).

Almost surely, 25140224500 is an apocalyptic number.

5140224500 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 5140224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619180840).

5140224500 is an abundant number, since it is smaller than the sum of its proper divisors (6098137180).

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

5140224500 is a wasteful number, since it uses less digits than its factorization.

5140224500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11109 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 5140224500 is about 71695.3589850835. The cubic root of 5140224500 is about 1725.8141644350.

Adding to 5140224500 its reverse (54220415), we get a palindrome (5194444915).

The spelling of 5140224500 in words is "five billion, one hundred forty million, two hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 1021 2042 4084 5105 10069 10210 20138 20420 25525 40276 50345 51050 100690 102100 127625 201380 251725 255250 503450 510500 1006900 1258625 2517250 5034500 10280449 20560898 41121796 51402245 102804490 205608980 257011225 514022450 1028044900 1285056125 2570112250 5140224500