Search a number
-
+
22383720 = 2332597641
BaseRepresentation
bin101010101100…
…0110001101000
31120010012200200
41111120301220
521212234340
62115432200
7361154442
oct125306150
946105620
1022383720
11116a9247
1275b5660
134839408
142d89492
151e72330
hex1558c68

22383720 has 96 divisors (see below), whose sum is σ = 73611720. Its totient is φ = 5898240.

The previous prime is 22383709. The next prime is 22383743. The reversal of 22383720 is 2738322.

It can be written as a sum of positive squares in 4 ways, for example, as 20958084 + 1425636 = 4578^2 + 1194^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34600 + ... + 35240.

Almost surely, 222383720 is an apocalyptic number.

22383720 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 22383720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36805860).

22383720 is an abundant number, since it is smaller than the sum of its proper divisors (51228000).

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

22383720 is a wasteful number, since it uses less digits than its factorization.

22383720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 22383720 is about 4731.1436249600. The cubic root of 22383720 is about 281.8236410509.

The spelling of 22383720 in words is "twenty-two million, three hundred eighty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 641 776 873 970 1164 1282 1455 1746 1923 1940 2328 2564 2910 3205 3492 3846 3880 4365 5128 5769 5820 6410 6984 7692 8730 9615 11538 11640 12820 15384 17460 19230 23076 25640 28845 34920 38460 46152 57690 62177 76920 115380 124354 186531 230760 248708 310885 373062 497416 559593 621770 746124 932655 1119186 1243540 1492248 1865310 2238372 2487080 2797965 3730620 4476744 5595930 7461240 11191860 22383720