Search a number
-
+
22148608 = 29181239
BaseRepresentation
bin101010001111…
…1011000000000
31112200021011211
41110133120000
521132223413
62110415504
7356155126
oct124373000
945607154
1022148608
1111558639
127501594
1347863b1
142d27916
151e2783d
hex151f600

22148608 has 40 divisors (see below), whose sum is σ = 44684640. Its totient is φ = 10967040.

The previous prime is 22148597. The next prime is 22148627. The reversal of 22148608 is 80684122.

It is a self number, because there is not a number n which added to its sum of digits gives 22148608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92553 + ... + 92791.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 222148608 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 22148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22342320).

22148608 is an abundant number, since it is smaller than the sum of its proper divisors (22536032).

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

22148608 is an equidigital number, since it uses as much as digits as its factorization.

22148608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 22148608 is about 4706.2307635729. The cubic root of 22148608 is about 280.8334351412.

The spelling of 22148608 in words is "twenty-two million, one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 128 181 239 256 362 478 512 724 956 1448 1912 2896 3824 5792 7648 11584 15296 23168 30592 43259 46336 61184 86518 92672 122368 173036 346072 692144 1384288 2768576 5537152 11074304 22148608