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22450313000 = 2353123718149
BaseRepresentation
bin10100111010001001…
…001001011100101000
32010221121020001210002
4110322021021130220
5331434240004000
614151420042132
71423224340403
oct247211113450
963847201702
1022450313000
119580686495
124426693348
13216a22b29b
14112d8c0d3a
158b5e2e8d5
hex53a249728

22450313000 has 64 divisors (see below), whose sum is σ = 52579098000. Its totient is φ = 8972371200.

The previous prime is 22450312993. The next prime is 22450313003. The reversal of 22450313000 is 31305422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 912402436 + 21537910564 = 30206^2 + 146758^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22450313003) 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, 1227926 + ... + 1246074.

Almost surely, 222450313000 is an apocalyptic number.

22450313000 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 22450313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26289549000).

22450313000 is an abundant number, since it is smaller than the sum of its proper divisors (30128785000).

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

22450313000 is a wasteful number, since it uses less digits than its factorization.

22450313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19407 (or 19393 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 22450313000 its reverse (31305422), we get a palindrome (22481618422).

The spelling of 22450313000 in words is "twenty-two billion, four hundred fifty million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1237 2474 4948 6185 9896 12370 18149 24740 30925 36298 49480 61850 72596 90745 123700 145192 154625 181490 247400 309250 362980 453725 618500 725960 907450 1237000 1814900 2268625 3629800 4537250 9074500 18149000 22450313 44900626 89801252 112251565 179602504 224503130 449006260 561257825 898012520 1122515650 2245031300 2806289125 4490062600 5612578250 11225156500 22450313000