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20152332 = 22322997199
BaseRepresentation
bin100110011100…
…0000000001100
31101220211210200
41030320000030
520124333312
61555533500
7333202104
oct114700014
941824720
1020152332
1110414822
1268ba290
134237875
142968204
151b810dc
hex133800c

20152332 has 72 divisors (see below), whose sum is σ = 53508000. Its totient is φ = 6386688.

The previous prime is 20152313. The next prime is 20152333. The reversal of 20152332 is 23325102.

It is a super-2 number, since 2×201523322 = 812232970076448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20152333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101169 + ... + 101367.

Almost surely, 220152332 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 20152332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26754000).

20152332 is an abundant number, since it is smaller than the sum of its proper divisors (33355668).

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

20152332 is a wasteful number, since it uses less digits than its factorization.

20152332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 20152332 is about 4489.1348832487. The cubic root of 20152332 is about 272.1291737951.

Adding to 20152332 its reverse (23325102), we get a palindrome (43477434).

The spelling of 20152332 in words is "twenty million, one hundred fifty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 97 116 174 194 199 261 291 348 388 398 522 582 597 796 873 1044 1164 1194 1746 1791 2388 2813 3492 3582 5626 5771 7164 8439 11252 11542 16878 17313 19303 23084 25317 33756 34626 38606 50634 51939 57909 69252 77212 101268 103878 115818 173727 207756 231636 347454 559787 694908 1119574 1679361 2239148 3358722 5038083 6717444 10076166 20152332