Search a number
-
+
22826040 = 2335375397
BaseRepresentation
bin101011100010…
…0110000111000
31120221200102220
41113010300320
521320413130
62133124040
7365006136
oct127046070
946850386
1022826040
11119805a6
127789620
134962843
143062756
15200d410
hex15c4c38

22826040 has 128 divisors (see below), whose sum is σ = 72394560. Its totient is φ = 5750784.

The previous prime is 22826009. The next prime is 22826071. The reversal of 22826040 is 4062822.

It is an interprime number because it is at equal distance from previous prime (22826009) and next prime (22826071).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22826040.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 235272 + ... + 235368.

Almost surely, 222826040 is an apocalyptic number.

22826040 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 22826040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

22826040 is an abundant number, since it is smaller than the sum of its proper divisors (49568520).

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

22826040 is a wasteful number, since it uses less digits than its factorization.

22826040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22826040 is about 4777.6605153569. The cubic root of 22826040 is about 283.6678985170.

Adding to 22826040 its reverse (4062822), we get a palindrome (26888862).

The spelling of 22826040 in words is "twenty-two million, eight hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 53 60 74 97 106 111 120 148 159 185 194 212 222 265 291 296 318 370 388 424 444 485 530 555 582 636 740 776 795 888 970 1060 1110 1164 1272 1455 1480 1590 1940 1961 2120 2220 2328 2910 3180 3589 3880 3922 4440 5141 5820 5883 6360 7178 7844 9805 10282 10767 11640 11766 14356 15423 15688 17945 19610 20564 21534 23532 25705 28712 29415 30846 35890 39220 41128 43068 47064 51410 53835 58830 61692 71780 77115 78440 86136 102820 107670 117660 123384 143560 154230 190217 205640 215340 235320 308460 380434 430680 570651 616920 760868 951085 1141302 1521736 1902170 2282604 2853255 3804340 4565208 5706510 7608680 11413020 22826040