Search a number
-
+
22293000 = 2332532477
BaseRepresentation
bin101010100001…
…0101000001000
31112221121020200
41111002220020
521201334000
62113452200
7360326112
oct125025010
945847220
1022293000
1111647074
127571060
134807032
142d643b2
151e55500
hex1542a08

22293000 has 96 divisors (see below), whose sum is σ = 75380760. Its totient is φ = 5942400.

The previous prime is 22292969. The next prime is 22293013. The reversal of 22293000 is 39222.

It can be written as a sum of positive squares in 4 ways, for example, as 6563844 + 15729156 = 2562^2 + 3966^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7762 + ... + 10238.

Almost surely, 222293000 is an apocalyptic number.

22293000 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 22293000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37690380).

22293000 is an abundant number, since it is smaller than the sum of its proper divisors (53087760).

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

22293000 is a wasteful number, since it uses less digits than its factorization.

22293000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 22293000 is about 4721.5463568623. The cubic root of 22293000 is about 281.4423868877.

The spelling of 22293000 in words is "twenty-two million, two hundred ninety-three thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 2477 3000 4500 4954 7431 9000 9908 12385 14862 19816 22293 24770 29724 37155 44586 49540 59448 61925 74310 89172 99080 111465 123850 148620 178344 185775 222930 247700 297240 309625 371550 445860 495400 557325 619250 743100 891720 928875 1114650 1238500 1486200 1857750 2229300 2477000 2786625 3715500 4458600 5573250 7431000 11146500 22293000