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5225254000 = 24537013727
BaseRepresentation
bin1001101110111001…
…10000110001110000
3111111011020101221221
410313130300301300
541200131112000
62222255154424
7243325632451
oct46734606160
914434211857
105225254000
11224157973a
121019b15a14
13653718895
14377d79128
15208aed61a
hex137730c70

5225254000 has 80 divisors (see below), whose sum is σ = 12656082816. Its totient is φ = 2086560000.

The previous prime is 5225253989. The next prime is 5225254009. The reversal of 5225254000 is 4525225.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5225254009) 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, 1400137 + ... + 1403863.

Almost surely, 25225254000 is an apocalyptic number.

5225254000 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 5225254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328041408).

5225254000 is an abundant number, since it is smaller than the sum of its proper divisors (7430828816).

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

5225254000 is a wasteful number, since it uses less digits than its factorization.

5225254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 5225254000 is about 72285.9184073911. The cubic root of 5225254000 is about 1735.2782983389.

Adding to 5225254000 its reverse (4525225), we get a palindrome (5229779225).

The spelling of 5225254000 in words is "five billion, two hundred twenty-five million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 701 1000 1402 2000 2804 3505 3727 5608 7010 7454 11216 14020 14908 17525 18635 28040 29816 35050 37270 56080 59632 70100 74540 87625 93175 140200 149080 175250 186350 280400 298160 350500 372700 465875 701000 745400 931750 1402000 1490800 1863500 2612627 3727000 5225254 7454000 10450508 13063135 20901016 26126270 41802032 52252540 65315675 104505080 130631350 209010160 261262700 326578375 522525400 653156750 1045050800 1306313500 2612627000 5225254000