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5225368500 = 22325311105563
BaseRepresentation
bin1001101110111010…
…01100101110110100
3111111011110020000200
410313131030232310
541200143243000
62222301440500
7243326620332
oct46735145664
914434406020
105225368500
112241647770
121019b70130
13653758a31
14377da8b52
15208b22500
hex13774cbb4

5225368500 has 144 divisors (see below), whose sum is σ = 17983038528. Its totient is φ = 1266744000.

The previous prime is 5225368493. The next prime is 5225368529. The reversal of 5225368500 is 58635225.

It is a happy number.

5225368500 is a `hidden beast` number, since 522 + 53 + 6 + 85 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3282 + ... + 102281.

It is an arithmetic number, because the mean of its divisors is an integer number (124882212).

Almost surely, 25225368500 is an apocalyptic number.

5225368500 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 5225368500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8991519264).

5225368500 is an abundant number, since it is smaller than the sum of its proper divisors (12757670028).

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

5225368500 is a wasteful number, since it uses less digits than its factorization.

5225368500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105599 (or 105584 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5225368500 is about 72286.7103968634. The cubic root of 5225368500 is about 1735.2909731877.

The spelling of 5225368500 in words is "five billion, two hundred twenty-five million, three hundred sixty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 125 132 150 165 180 198 220 225 250 275 300 330 375 396 450 495 500 550 660 750 825 900 990 1100 1125 1375 1500 1650 1980 2250 2475 2750 3300 4125 4500 4950 5500 8250 9900 12375 16500 24750 49500 105563 211126 316689 422252 527815 633378 950067 1055630 1161193 1266756 1583445 1900134 2111260 2322386 2639075 3166890 3483579 3800268 4644772 4750335 5278150 5805965 6333780 6967158 7917225 9500670 10450737 10556300 11611930 13195375 13934316 15834450 17417895 19001340 20901474 23223860 23751675 26390750 29029825 31668900 34835790 39586125 41802948 47503350 52253685 52781500 58059650 69671580 79172250 87089475 95006700 104507370 116119300 118758375 145149125 158344500 174178950 209014740 237516750 261268425 290298250 348357900 435447375 475033500 522536850 580596500 870894750 1045073700 1306342125 1741789500 2612684250 5225368500