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20123232 = 253972161
BaseRepresentation
bin100110011000…
…0111001100000
31101212100212220
41030300321200
520122420412
61555151040
7333021213
oct114607140
941770786
1020123232
11103a4978
1268a5480
13422754c
14295b77a
151b7768c
hex1330e60

20123232 has 48 divisors (see below), whose sum is σ = 53392752. Its totient is φ = 6635520.

The previous prime is 20123231. The next prime is 20123237. The reversal of 20123232 is 23232102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×201232322 = 809888932251648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8232 + ... + 10392.

It is an arithmetic number, because the mean of its divisors is an integer number (1112349).

Almost surely, 220123232 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 20123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26696376).

20123232 is an abundant number, since it is smaller than the sum of its proper divisors (33269520).

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

20123232 is a wasteful number, since it uses less digits than its factorization.

20123232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20123232 is about 4485.8925533276. The cubic root of 20123232 is about 271.9981257080.

Adding to 20123232 its reverse (23232102), we get a palindrome (43355334).

The spelling of 20123232 in words is "twenty million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2161 2328 3104 4322 4656 6483 8644 9312 12966 17288 25932 34576 51864 69152 103728 207456 209617 419234 628851 838468 1257702 1676936 2515404 3353872 5030808 6707744 10061616 20123232