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2231424342 = 2337371031549
BaseRepresentation
bin1000010100000000…
…1101010101010110
312202111211002202000
42011000031111112
514032221034332
61005231100130
7106203536220
oct20500152526
95674732660
102231424342
11a45643154
12523371646
132973b4a44
141724db410
15d0d77b7c
hex8500d556

2231424342 has 128 divisors (see below), whose sum is σ = 5880576000. Its totient is φ = 613899648.

The previous prime is 2231424341. The next prime is 2231424367. The reversal of 2231424342 is 2434241322.

2231424342 is a `hidden beast` number, since 2 + 2 + 314 + 2 + 4 + 342 = 666.

It is a super-3 number, since 3×22314243423 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231424341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1439784 + ... + 1441332.

It is an arithmetic number, because the mean of its divisors is an integer number (45942000).

Almost surely, 22231424342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231424342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940288000).

2231424342 is an abundant number, since it is smaller than the sum of its proper divisors (3649151658).

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

2231424342 is a wasteful number, since it uses less digits than its factorization.

2231424342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1701 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 2231424342 is about 47237.9544646040. The cubic root of 2231424342 is about 1306.7546538378.

Adding to 2231424342 its reverse (2434241322), we get a palindrome (4665665664).

It can be divided in two parts, 22314 and 24342, that added together give a 6-th power (46656 = 66).

The spelling of 2231424342 in words is "two billion, two hundred thirty-one million, four hundred twenty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 103 111 126 189 206 222 259 309 333 378 518 618 666 721 777 927 999 1442 1549 1554 1854 1998 2163 2331 2781 3098 3811 4326 4647 4662 5562 6489 6993 7622 9294 10843 11433 12978 13941 13986 19467 21686 22866 26677 27882 32529 34299 38934 41823 53354 57313 65058 68598 80031 83646 97587 102897 114626 159547 160062 171939 195174 205794 240093 292761 319094 343878 401191 478641 480186 515817 585522 720279 802382 957282 1031634 1116829 1203573 1435923 1440558 1547451 2233658 2407146 2871846 3094902 3350487 3610719 4307769 5903239 6700974 7221438 8615538 10051461 10832157 11806478 17709717 20102922 21664314 30154383 35419434 41322673 53129151 60308766 82645346 106258302 123968019 159387453 247936038 318774906 371904057 743808114 1115712171 2231424342