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9250000000 = 275937
BaseRepresentation
bin10001001110101011…
…11100110010000000
3212212122111200112121
420213111330302000
5122421000000000
64125511334024
7445136463013
oct104725746200
925778450477
109250000000
113a174249aa
121961981314
13b454c29a7
1463a6d137a
15392110b1a
hex22757cc80

9250000000 has 160 divisors (see below), whose sum is σ = 23657224140. Its totient is φ = 3600000000.

The previous prime is 9249999971. The next prime is 9250000003. The reversal of 9250000000 is 529.

Adding to 9250000000 its reverse (529), we get a palindrome (9250000529).

It can be written as a sum of positive squares in 10 ways, for example, as 7773596224 + 1476403776 = 88168^2 + 38424^2 .

It is a sliding number, since 9250000000 = 1250000000 + 8000000000 and 1/1250000000 + 1/8000000000 = 0.0000000009250000000.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (9250000003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249999982 + ... + 250000018.

Almost surely, 29250000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9250000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11828612070).

9250000000 is an abundant number, since it is smaller than the sum of its proper divisors (14407224140).

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

9250000000 is an frugal number, since it uses more digits than its factorization.

9250000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 9250000000 is about 96176.9203083567. The cubic root of 9250000000 is about 2099.1682269042.

The spelling of 9250000000 in words is "nine billion, two hundred fifty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 128 148 160 185 200 250 296 320 370 400 500 592 625 640 740 800 925 1000 1184 1250 1480 1600 1850 2000 2368 2500 2960 3125 3200 3700 4000 4625 4736 5000 5920 6250 7400 8000 9250 10000 11840 12500 14800 15625 16000 18500 20000 23125 23680 25000 29600 31250 37000 40000 46250 50000 59200 62500 74000 78125 80000 92500 100000 115625 118400 125000 148000 156250 185000 200000 231250 250000 296000 312500 370000 390625 400000 462500 500000 578125 592000 625000 740000 781250 925000 1000000 1156250 1250000 1480000 1562500 1850000 1953125 2000000 2312500 2500000 2890625 2960000 3125000 3700000 3906250 4625000 5000000 5781250 6250000 7400000 7812500 9250000 10000000 11562500 12500000 14453125 14800000 15625000 18500000 23125000 25000000 28906250 31250000 37000000 46250000 50000000 57812500 62500000 72265625 74000000 92500000 115625000 125000000 144531250 185000000 231250000 250000000 289062500 370000000 462500000 578125000 925000000 1156250000 1850000000 2312500000 4625000000 9250000000