Search a number
-
+
3022272 = 26341153
BaseRepresentation
bin1011100001110111000000
312200112210000
423201313000
51233203042
6144440000
734455201
oct13416700
95615700
103022272
111784750
121019000
1381a836
145895a8
153ea74c
hex2e1dc0

3022272 has 140 divisors (see below), whose sum is σ = 9957816. Its totient is φ = 898560.

The previous prime is 3022267. The next prime is 3022289. The reversal of 3022272 is 2722203.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56998 + ... + 57050.

Almost surely, 23022272 is an apocalyptic number.

3022272 is a gapful number since it is divisible by the number (32) 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 3022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978908).

3022272 is an abundant number, since it is smaller than the sum of its proper divisors (6935544).

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

3022272 is a wasteful number, since it uses less digits than its factorization.

3022272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3022272 is about 1738.4682913415. The cubic root of 3022272 is about 144.5809861193.

Adding to 3022272 its reverse (2722203), we get a palindrome (5744475).

The spelling of 3022272 in words is "three million, twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 53 54 64 66 72 81 88 96 99 106 108 132 144 159 162 176 192 198 212 216 264 288 297 318 324 352 396 424 432 477 528 576 583 594 636 648 704 792 848 864 891 954 1056 1166 1188 1272 1296 1431 1584 1696 1728 1749 1782 1908 2112 2332 2376 2544 2592 2862 3168 3392 3498 3564 3816 4293 4664 4752 5088 5184 5247 5724 6336 6996 7128 7632 8586 9328 9504 10176 10494 11448 13992 14256 15264 15741 17172 18656 19008 20988 22896 27984 28512 30528 31482 34344 37312 41976 45792 47223 55968 57024 62964 68688 83952 91584 94446 111936 125928 137376 167904 188892 251856 274752 335808 377784 503712 755568 1007424 1511136 3022272