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233141234424 = 23372337588277
BaseRepresentation
bin1101100100100001001…
…1001110101011111000
3211021210000100211102020
43121020103032223320
512304433124000144
6255034213434440
722562312536500
oct3311023165370
9737700324366
10233141234424
118a96917013a
123922663ba20
1318ca6418967
14b3d97b8a00
1560e7c3e419
hex36484ceaf8

233141234424 has 96 divisors (see below), whose sum is σ = 680025836880. Its totient is φ = 66414007296.

The previous prime is 233141234413. The next prime is 233141234429. The reversal of 233141234424 is 424432141332.

233141234424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2331412344242 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233141234429) 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 23 ways as a sum of consecutive naturals, for example, 102174 + ... + 690450.

Almost surely, 2233141234424 is an apocalyptic number.

233141234424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233141234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340012918440).

233141234424 is an abundant number, since it is smaller than the sum of its proper divisors (446884602456).

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

233141234424 is a wasteful number, since it uses less digits than its factorization.

233141234424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588637 (or 588626 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 233141234424 its reverse (424432141332), we get a palindrome (657573375756).

The spelling of 233141234424 in words is "two hundred thirty-three billion, one hundred forty-one million, two hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 337 392 588 674 1011 1176 1348 2022 2359 2696 4044 4718 7077 8088 9436 14154 16513 18872 28308 33026 49539 56616 66052 99078 132104 198156 396312 588277 1176554 1764831 2353108 3529662 4117939 4706216 7059324 8235878 12353817 14118648 16471756 24707634 28825573 32943512 49415268 57651146 86476719 98830536 115302292 172953438 198249349 230604584 345906876 396498698 594748047 691813752 792997396 1189496094 1387745443 1585994792 2378992188 2775490886 4163236329 4757984376 5550981772 8326472658 9714218101 11101963544 16652945316 19428436202 29142654303 33305890632 38856872404 58285308606 77713744808 116570617212 233141234424