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202223142 = 23911467
BaseRepresentation
bin11000000110110…
…10111000100110
3112002112000000000
430003122320212
5403232120032
632022202130
75003603562
oct1403327046
9462460000
10202223142
11a4171270
1257883346
1332b85184
141cc006a2
1512b47e7c
hexc0dae26

202223142 has 80 divisors (see below), whose sum is σ = 497420352. Its totient is φ = 61148520.

The previous prime is 202223141. The next prime is 202223159. The reversal of 202223142 is 241322202.

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 (202223141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 432793 + ... + 433259.

Almost surely, 2202223142 is an apocalyptic number.

202223142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202223142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248710176).

202223142 is an abundant number, since it is smaller than the sum of its proper divisors (295197210).

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

202223142 is an frugal number, since it uses more digits than its factorization.

202223142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 202223142 is about 14220.5183449831. The cubic root of 202223142 is about 586.9624037671.

Adding to 202223142 its reverse (241322202), we get a palindrome (443545344).

The spelling of 202223142 in words is "two hundred two million, two hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 467 486 594 729 891 934 1401 1458 1782 2187 2673 2802 4203 4374 5137 5346 6561 8019 8406 10274 12609 13122 15411 16038 19683 24057 25218 30822 37827 39366 46233 48114 72171 75654 92466 113481 138699 144342 216513 226962 277398 340443 416097 433026 680886 832194 1021329 1248291 2042658 2496582 3063987 3744873 6127974 7489746 9191961 11234619 18383922 22469238 33703857 67407714 101111571 202223142