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233484432640 = 285183199623
BaseRepresentation
bin1101100101110011000…
…0011011010100000000
3211022122221011002212021
43121130300123110000
512311134003321030
6255132233411224
722603650634414
oct3313460332400
9738587132767
10233484432640
119002496a028
1239301569b14
131902c55cc24
14b42d1d4d44
156117e3297a
hex365cc1b500

233484432640 has 72 divisors (see below), whose sum is σ = 559579241088. Its totient is φ = 93341829120.

The previous prime is 233484432617. The next prime is 233484432659. The reversal of 233484432640 is 46234484332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2293869 + ... + 2393491.

It is an arithmetic number, because the mean of its divisors is an integer number (7771933904).

Almost surely, 2233484432640 is an apocalyptic number.

233484432640 is a gapful number since it is divisible by the number (20) 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 233484432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279789620544).

233484432640 is an abundant number, since it is smaller than the sum of its proper divisors (326094808448).

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

233484432640 is an equidigital number, since it uses as much as digits as its factorization.

233484432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101475 (or 101461 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 43.

The spelling of 233484432640 in words is "two hundred thirty-three billion, four hundred eighty-four million, four hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1831 3662 7324 9155 14648 18310 29296 36620 58592 73240 99623 117184 146480 199246 234368 292960 398492 468736 498115 585920 796984 996230 1171840 1593968 1992460 2343680 3187936 3984920 6375872 7969840 12751744 15939680 25503488 31879360 63758720 127517440 182409713 364819426 729638852 912048565 1459277704 1824097130 2918555408 3648194260 5837110816 7296388520 11674221632 14592777040 23348443264 29185554080 46696886528 58371108160 116742216320 233484432640