Search a number
-
+
22747428 = 2232111731109
BaseRepresentation
bin101011011000…
…1100100100100
31120210200121100
41112301210210
521310404203
62131320100
7364231014
oct126614444
946720540
1022747428
1111927530
127750030
134935b22
143041c44
151ee4ea3
hex15b1924

22747428 has 144 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 6220800.

The previous prime is 22747423. The next prime is 22747429. The reversal of 22747428 is 82474722.

22747428 is a `hidden beast` number, since 227 + 4 + 7 + 428 = 666.

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 = 22747392 and 22747401.

It is not an unprimeable number, because it can be changed into a prime (22747423) 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 47 ways as a sum of consecutive naturals, for example, 208638 + ... + 208746.

It is an arithmetic number, because the mean of its divisors is an integer number (480480).

Almost surely, 222747428 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 22747428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

22747428 is an abundant number, since it is smaller than the sum of its proper divisors (46441692).

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

22747428 is a wasteful number, since it uses less digits than its factorization.

22747428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 22747428 is about 4769.4263806039. The cubic root of 22747428 is about 283.3418768666.

The spelling of 22747428 in words is "twenty-two million, seven hundred forty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 31 33 34 36 44 51 62 66 68 93 99 102 109 124 132 153 186 187 198 204 218 279 306 327 341 372 374 396 436 527 558 561 612 654 682 748 981 1023 1054 1116 1122 1199 1308 1364 1581 1683 1853 1962 2046 2108 2244 2398 3069 3162 3366 3379 3597 3706 3924 4092 4743 4796 5559 5797 6138 6324 6732 6758 7194 7412 9486 10137 10791 11118 11594 12276 13516 14388 16677 17391 18972 20274 20383 21582 22236 23188 30411 33354 34782 37169 40548 40766 43164 52173 57443 60822 61149 66708 69564 74338 81532 104346 111507 114886 121644 122298 148676 172329 183447 208692 223014 229772 244596 334521 344658 366894 446028 516987 631873 669042 689316 733788 1033974 1263746 1338084 1895619 2067948 2527492 3791238 5686857 7582476 11373714 22747428