Search a number
-
+
22731250000 = 24583637
BaseRepresentation
bin10101001010111000…
…110101100101010000
32011200011212010220011
4111022320311211100
5333023200000000
614235333324304
71433205302614
oct251270654520
964604763804
1022731250000
11970521a628
1244a4796694
1321b34b32b4
141158d31344
158d09252ba
hex54ae35950

22731250000 has 90 divisors (see below), whose sum is σ = 55067354618. Its totient is φ = 9090000000.

The previous prime is 22731249979. The next prime is 22731250007. The reversal of 22731250000 is 5213722.

It can be written as a sum of positive squares in 9 ways, for example, as 1984880704 + 20746369296 = 44552^2 + 144036^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22731250007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6248182 + ... + 6251818.

Almost surely, 222731250000 is an apocalyptic number.

22731250000 is a gapful number since it is divisible by the number (20) 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 22731250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27533677309).

22731250000 is an abundant number, since it is smaller than the sum of its proper divisors (32336104618).

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

22731250000 is an frugal number, since it uses more digits than its factorization.

22731250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

Adding to 22731250000 its reverse (5213722), we get a palindrome (22736463722).

The spelling of 22731250000 in words is "twenty-two billion, seven hundred thirty-one million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 3637 5000 6250 7274 10000 12500 14548 15625 18185 25000 29096 31250 36370 50000 58192 62500 72740 78125 90925 125000 145480 156250 181850 250000 290960 312500 363700 390625 454625 625000 727400 781250 909250 1250000 1454800 1562500 1818500 2273125 3125000 3637000 4546250 6250000 7274000 9092500 11365625 18185000 22731250 36370000 45462500 56828125 90925000 113656250 181850000 227312500 284140625 454625000 568281250 909250000 1136562500 1420703125 2273125000 2841406250 4546250000 5682812500 11365625000 22731250000