Search a number
-
+
22048128 = 273219139
BaseRepresentation
bin101010000011…
…0110110000000
31112111011100100
41110012312000
521121020003
62104322400
7355256154
oct124066600
945434310
1022048128
111149a0a3
127473400
13474c73b
142cdd064
151e07ba3
hex1506d80

22048128 has 48 divisors (see below), whose sum is σ = 63449100. Its totient is φ = 7348992.

The previous prime is 22048109. The next prime is 22048129. The reversal of 22048128 is 82184022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×220481282 = 972239896608768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22048129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8418 + ... + 10721.

Almost surely, 222048128 is an apocalyptic number.

It is an amenable number.

22048128 is an abundant number, since it is smaller than the sum of its proper divisors (41400972).

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

22048128 is a wasteful number, since it uses less digits than its factorization.

22048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19159 (or 19144 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 22048128 is about 4695.5434190304. The cubic root of 22048128 is about 280.4081123522.

The spelling of 22048128 in words is "twenty-two million, forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 19139 38278 57417 76556 114834 153112 172251 229668 306224 344502 459336 612448 689004 918672 1224896 1378008 1837344 2449792 2756016 3674688 5512032 7349376 11024064 22048128