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22542048 = 2532292699
BaseRepresentation
bin101010111111…
…1011011100000
31120102020212200
41111333123200
521232321143
62123053200
7362414154
oct125773340
946366780
1022542048
11117a71a1
127671200
1348934b9
142dcb064
151ea41d3
hex157f6e0

22542048 has 72 divisors (see below), whose sum is σ = 66339000. Its totient is φ = 7252224.

The previous prime is 22542043. The next prime is 22542049. The reversal of 22542048 is 84024522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22542043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7003 + ... + 9701.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 222542048 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 22542048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33169500).

22542048 is an abundant number, since it is smaller than the sum of its proper divisors (43796952).

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

22542048 is a wasteful number, since it uses less digits than its factorization.

22542048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 22542048 is about 4747.8466698073. The cubic root of 22542048 is about 282.4865600414.

The spelling of 22542048 in words is "twenty-two million, five hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2699 2784 4176 5398 8097 8352 10796 16194 21592 24291 32388 43184 48582 64776 78271 86368 97164 129552 156542 194328 234813 259104 313084 388656 469626 626168 704439 777312 939252 1252336 1408878 1878504 2504672 2817756 3757008 5635512 7514016 11271024 22542048