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22038048 = 2533231109
BaseRepresentation
bin101010000010…
…0011000100000
31112110122112000
41110010120200
521120204143
62104204000
7355214604
oct124043040
945418460
1022038048
111149256a
127469600
134747c86
142cd9504
151e04bd3
hex1504620

22038048 has 96 divisors (see below), whose sum is σ = 67132800. Its totient is φ = 7020288.

The previous prime is 22038047. The next prime is 22038053. The reversal of 22038048 is 84083022.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (22038047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19318 + ... + 20426.

It is an arithmetic number, because the mean of its divisors is an integer number (699300).

Almost surely, 222038048 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 22038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33566400).

22038048 is an abundant number, since it is smaller than the sum of its proper divisors (45094752).

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

22038048 is a wasteful number, since it uses less digits than its factorization.

22038048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22038048 is about 4694.4699381293. The cubic root of 22038048 is about 280.3653733553.

The spelling of 22038048 in words is "twenty-two million, thirty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1109 1242 1656 2208 2218 2484 3312 3327 4436 4968 6624 6654 8872 9936 9981 13308 17744 19872 19962 25507 26616 29943 35488 39924 51014 53232 59886 76521 79848 102028 106464 119772 153042 159696 204056 229563 239544 306084 319392 408112 459126 479088 612168 688689 816224 918252 958176 1224336 1377378 1836504 2448672 2754756 3673008 5509512 7346016 11019024 22038048