Search a number
-
+
22100448 = 253230213
BaseRepresentation
bin101010001001…
…1100111100000
31112120211010010
41110103213200
521124203243
62105404520
7355564536
oct124234740
945524103
1022100448
1111525437
127499740
13476a4b6
142d14156
151e18433
hex15139e0

22100448 has 24 divisors (see below), whose sum is σ = 58013928. Its totient is φ = 7366784.

The previous prime is 22100443. The next prime is 22100453. The reversal of 22100448 is 84400122.

It is an interprime number because it is at equal distance from previous prime (22100443) and next prime (22100453).

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100443) 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 3 ways as a sum of consecutive naturals, for example, 115011 + ... + 115202.

It is an arithmetic number, because the mean of its divisors is an integer number (2417247).

Almost surely, 222100448 is an apocalyptic number.

It is an amenable number.

22100448 is an abundant number, since it is smaller than the sum of its proper divisors (35913480).

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

22100448 is a wasteful number, since it uses less digits than its factorization.

22100448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230226 (or 230218 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 22100448 is about 4701.1113579663. Note that the first 3 decimals coincide. The cubic root of 22100448 is about 280.6297390747.

The spelling of 22100448 in words is "twenty-two million, one hundred thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 230213 460426 690639 920852 1381278 1841704 2762556 3683408 5525112 7366816 11050224 22100448