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400223142 = 2321129471483
BaseRepresentation
bin10111110110101…
…110101110100110
31000220002102221100
4113312232232212
51304424120032
6103414100530
712626561214
oct2766565646
91026072840
10400223142
11195a08630
12b204a746
1364bbc037
143b221cb4
152520997c
hex17daeba6

400223142 has 96 divisors (see below), whose sum is σ = 1000097280. Its totient is φ = 114528960.

The previous prime is 400223141. The next prime is 400223149. The reversal of 400223142 is 241322004.

400223142 is a `hidden beast` number, since 400 + 223 + 1 + 42 = 666.

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 (400223141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269133 + ... + 270615.

It is an arithmetic number, because the mean of its divisors is an integer number (10417680).

Almost surely, 2400223142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400223142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500048640).

400223142 is an abundant number, since it is smaller than the sum of its proper divisors (599874138).

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

400223142 is a wasteful number, since it uses less digits than its factorization.

400223142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1575 counting only the distinct ones).

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

The square root of 400223142 is about 20005.5777722114. The cubic root of 400223142 is about 736.9432846181.

Adding to 400223142 its reverse (241322004), we get a palindrome (641545146).

The spelling of 400223142 in words is "four hundred million, two hundred twenty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 47 58 66 87 94 99 141 174 198 261 282 319 423 517 522 638 846 957 1034 1363 1483 1551 1914 2726 2871 2966 3102 4089 4449 4653 5742 8178 8898 9306 12267 13347 14993 16313 24534 26694 29986 32626 43007 44979 48939 69701 86014 89958 97878 129021 134937 139402 146817 209103 258042 269874 293634 387063 418206 473077 627309 766711 774126 946154 1254618 1419231 1533422 2021329 2300133 2838462 4042658 4257693 4600266 6063987 6900399 8515386 12127974 13800798 18191961 22234619 36383922 44469238 66703857 133407714 200111571 400223142