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233024441020 = 22571797909429
BaseRepresentation
bin1101100100000101010…
…1101100101010111100
3211021110212121002222121
43121001111230222330
512304213224103040
6255014442252324
722556364032110
oct3310125545274
9737425532877
10233024441020
118a909249568
12391b34b70a4
1318c88175437
14b3c8095740
1560dc86dc4a
hex364156cabc

233024441020 has 48 divisors (see below), whose sum is σ = 592156232640. Its totient is φ = 75194440704.

The previous prime is 233024441017. The next prime is 233024441029. The reversal of 233024441020 is 20144420332.

It is a happy number.

233024441020 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 2×2330244410202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233024441029) 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 15 ways as a sum of consecutive naturals, for example, 48952335 + ... + 48957094.

It is an arithmetic number, because the mean of its divisors is an integer number (12336588180).

Almost surely, 2233024441020 is an apocalyptic number.

233024441020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233024441020 is an abundant number, since it is smaller than the sum of its proper divisors (359131791620).

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

233024441020 is a wasteful number, since it uses less digits than its factorization.

233024441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97909462 (or 97909460 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 233024441020 its reverse (20144420332), we get a palindrome (253168861352).

The spelling of 233024441020 in words is "two hundred thirty-three billion, twenty-four million, four hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 97909429 195818858 391637716 489547145 685366003 979094290 1370732006 1664460293 1958188580 2741464012 3328920586 3426830015 6657841172 6853660030 8322301465 11651222051 13707320060 16644602930 23302444102 33289205860 46604888204 58256110255 116512220510 233024441020