Search a number
-
+
22094280 = 23325134721
BaseRepresentation
bin101010001001…
…0000111001000
31112120111122200
41110102013020
521124004110
62105320200
7355540545
oct124220710
945514580
1022094280
111152083a
127496060
134767750
142d11bcc
151e166c0
hex15121c8

22094280 has 96 divisors (see below), whose sum is σ = 77346360. Its totient is φ = 5437440.

The previous prime is 22094273. The next prime is 22094287. The reversal of 22094280 is 8249022.

It is an interprime number because it is at equal distance from previous prime (22094273) and next prime (22094287).

It can be written as a sum of positive squares in 4 ways, for example, as 14243076 + 7851204 = 3774^2 + 2802^2 .

It is not an unprimeable number, because it can be changed into a prime (22094287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2320 + ... + 7040.

Almost surely, 222094280 is an apocalyptic number.

22094280 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 22094280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38673180).

22094280 is an abundant number, since it is smaller than the sum of its proper divisors (55252080).

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

22094280 is a wasteful number, since it uses less digits than its factorization.

22094280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22094280 is about 4700.4552970962. The cubic root of 22094280 is about 280.6036297204.

The spelling of 22094280 in words is "twenty-two million, ninety-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 4721 9442 14163 18884 23605 28326 37768 42489 47210 56652 61373 70815 84978 94420 113304 122746 141630 169956 184119 188840 212445 245492 283260 306865 339912 368238 424890 490984 552357 566520 613730 736476 849780 920595 1104714 1227460 1472952 1699560 1841190 2209428 2454920 2761785 3682380 4418856 5523570 7364760 11047140 22094280