Search a number
-
+
22720000 = 295471
BaseRepresentation
bin101011010101…
…0111000000000
31120202021222111
41112222320000
521304020000
62130545104
7364055032
oct126527000
946667874
1022720000
1111908966
127738194
1349264b4
143035c52
151edbcba
hex15aae00

22720000 has 100 divisors (see below), whose sum is σ = 57525336. Its totient is φ = 8960000.

The previous prime is 22719997. The next prime is 22720001. The reversal of 22720000 is 2722.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22720001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319965 + ... + 320035.

Almost surely, 222720000 is an apocalyptic number.

22720000 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 22720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28762668).

22720000 is an abundant number, since it is smaller than the sum of its proper divisors (34805336).

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

22720000 is an frugal number, since it uses more digits than its factorization.

22720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 22720000 is about 4766.5501151252. The cubic root of 22720000 is about 283.2279500434.

Adding to 22720000 its reverse (2722), we get a palindrome (22722722).

The spelling of 22720000 in words is "twenty-two million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 71 80 100 125 128 142 160 200 250 256 284 320 355 400 500 512 568 625 640 710 800 1000 1136 1250 1280 1420 1600 1775 2000 2272 2500 2560 2840 3200 3550 4000 4544 5000 5680 6400 7100 8000 8875 9088 10000 11360 12800 14200 16000 17750 18176 20000 22720 28400 32000 35500 36352 40000 44375 45440 56800 64000 71000 80000 88750 90880 113600 142000 160000 177500 181760 227200 284000 320000 355000 454400 568000 710000 908800 1136000 1420000 2272000 2840000 4544000 5680000 11360000 22720000