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20221146 = 23211731399
BaseRepresentation
bin100110100100…
…0110011011010
31102001100012100
41031020303122
520134034041
62001224230
7333606531
oct115106332
942040170
1020221146
11104614a0
126932076
13425cc9a
142985318
151b966b6
hex1348cda

20221146 has 48 divisors (see below), whose sum is σ = 48484800. Its totient is φ = 6039360.

The previous prime is 20221141. The next prime is 20221147. The reversal of 20221146 is 64112202.

It is a super-4 number, since 4×202211464 (a number of 30 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221141) 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, 13755 + ... + 15153.

It is an arithmetic number, because the mean of its divisors is an integer number (1010100).

Almost surely, 220221146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24242400).

20221146 is an abundant number, since it is smaller than the sum of its proper divisors (28263654).

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

20221146 is a wasteful number, since it uses less digits than its factorization.

20221146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 20221146 is about 4496.7928571372. The cubic root of 20221146 is about 272.4385676404.

Adding to 20221146 its reverse (64112202), we get a palindrome (84333348).

The spelling of 20221146 in words is "twenty million, two hundred twenty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1399 1606 2409 2798 4197 4818 7227 8394 12591 14454 15389 25182 30778 46167 92334 102127 138501 204254 277002 306381 612762 919143 1123397 1838286 2246794 3370191 6740382 10110573 20221146