Search a number
-
+
27222048 = 253372643
BaseRepresentation
bin110011111011…
…0000000100000
31220020000122000
41213312000200
523432101143
62411244000
7450245400
oct147660040
956200560
1027222048
1114403367
129149600
135841729
143888800
1525cabd3
hex19f6020

27222048 has 144 divisors (see below), whose sum is σ = 92504160. Its totient is φ = 7765632.

The previous prime is 27222031. The next prime is 27222101. The reversal of 27222048 is 84022272.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42015 + ... + 42657.

It is an arithmetic number, because the mean of its divisors is an integer number (642390).

Almost surely, 227222048 is an apocalyptic number.

27222048 is a gapful number since it is divisible by the number (28) 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 27222048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46252080).

27222048 is an abundant number, since it is smaller than the sum of its proper divisors (65282112).

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

27222048 is a wasteful number, since it uses less digits than its factorization.

27222048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 27222048 is about 5217.4752514986. The cubic root of 27222048 is about 300.8201557718.

The spelling of 27222048 in words is "twenty-seven million, two hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 643 672 756 784 864 882 1008 1176 1286 1323 1512 1568 1764 1929 2016 2352 2572 2646 3024 3528 3858 4501 4704 5144 5292 5787 6048 7056 7716 9002 10288 10584 11574 13503 14112 15432 17361 18004 20576 21168 23148 27006 30864 31507 34722 36008 40509 42336 46296 54012 61728 63014 69444 72016 81018 92592 94521 108024 121527 126028 138888 144032 162036 185184 189042 216048 243054 252056 277776 283563 324072 378084 432096 486108 504112 555552 567126 648144 756168 850689 972216 1008224 1134252 1296288 1512336 1701378 1944432 2268504 3024672 3402756 3888864 4537008 6805512 9074016 13611024 27222048