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22252152 = 2331373977
BaseRepresentation
bin101010011100…
…0101001111000
31112212112012210
41110320221320
521144032102
62112535120
7360066036
oct124705170
945775183
1022252152
111161940a
1275514a0
1347c1570
142d53556
151e4836c
hex1538a78

22252152 has 64 divisors (see below), whose sum is σ = 60792480. Its totient is φ = 6746112.

The previous prime is 22252151. The next prime is 22252157. The reversal of 22252152 is 25125222.

It is a super-2 number, since 2×222521522 = 990316537262208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22252151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22288 + ... + 23264.

Almost surely, 222252152 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 22252152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30396240).

22252152 is an abundant number, since it is smaller than the sum of its proper divisors (38540328).

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

22252152 is a wasteful number, since it uses less digits than its factorization.

22252152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its digits is 800, while the sum is 21.

The square root of 22252152 is about 4717.2186720567. The cubic root of 22252152 is about 281.2703839053.

Adding to 22252152 its reverse (25125222), we get a palindrome (47377374).

The spelling of 22252152 in words is "twenty-two million, two hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 219 292 312 438 584 876 949 977 1752 1898 1954 2847 2931 3796 3908 5694 5862 7592 7816 11388 11724 12701 22776 23448 25402 38103 50804 71321 76206 101608 142642 152412 213963 285284 304824 427926 570568 855852 927173 1711704 1854346 2781519 3708692 5563038 7417384 11126076 22252152