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20221312 = 27239661
BaseRepresentation
bin100110100100…
…0110110000000
31102001100102111
41031020312000
520134040222
62001225104
7333610156
oct115106600
942040374
1020221312
1110461631
126932194
134260097
1429853d6
151b96777
hex1348d80

20221312 has 32 divisors (see below), whose sum is σ = 40514400. Its totient is φ = 10053120.

The previous prime is 20221307. The next prime is 20221319. The reversal of 20221312 is 21312202.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 20221292 and 20221301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30262 + ... + 30922.

It is an arithmetic number, because the mean of its divisors is an integer number (1266075).

Almost surely, 220221312 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 20221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20257200).

20221312 is an abundant number, since it is smaller than the sum of its proper divisors (20293088).

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

20221312 is an equidigital number, since it uses as much as digits as its factorization.

20221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 20221312 is about 4496.8113146984. The cubic root of 20221312 is about 272.4393131418.

Adding to 20221312 its reverse (21312202), we get a palindrome (41533514).

The spelling of 20221312 in words is "twenty million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 239 478 661 956 1322 1912 2644 3824 5288 7648 10576 15296 21152 30592 42304 84608 157979 315958 631916 1263832 2527664 5055328 10110656 20221312