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22438728 = 23331361131
BaseRepresentation
bin101010110011…
…0001101001000
31120020000011000
41111212031020
521221014403
62120535000
7361504014
oct125461510
946200130
1022438728
1111736604
127621460
134858470
142da1544
151e837a3
hex1566348

22438728 has 128 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 6739200.

The previous prime is 22438727. The next prime is 22438729. The reversal of 22438728 is 82783422.

It is an interprime number because it is at equal distance from previous prime (22438727) and next prime (22438729).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22438692 and 22438701.

It is not an unprimeable number, because it can be changed into a prime (22438727) by changing a digit.

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, 171223 + ... + 171353.

It is an arithmetic number, because the mean of its divisors is an integer number (537075).

Almost surely, 222438728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22438728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

22438728 is an abundant number, since it is smaller than the sum of its proper divisors (46306872).

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

22438728 is a wasteful number, since it uses less digits than its factorization.

22438728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 22438728 is about 4736.9534513229. The cubic root of 22438728 is about 282.0543127620.

The spelling of 22438728 in words is "twenty-two million, four hundred thirty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 61 72 78 104 108 117 122 131 156 183 216 234 244 262 312 351 366 393 468 488 524 549 702 732 786 793 936 1048 1098 1179 1404 1464 1572 1586 1647 1703 2196 2358 2379 2808 3144 3172 3294 3406 3537 4392 4716 4758 5109 6344 6588 6812 7074 7137 7991 9432 9516 10218 13176 13624 14148 14274 15327 15982 19032 20436 21411 23973 28296 28548 30654 31964 40872 42822 45981 47946 57096 61308 63928 71919 85644 91962 95892 103883 122616 143838 171288 183924 191784 207766 215757 287676 311649 367848 415532 431514 575352 623298 831064 863028 934947 1246596 1726056 1869894 2493192 2804841 3739788 5609682 7479576 11219364 22438728