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234533314120 = 23571558153759
BaseRepresentation
bin1101101001101101000…
…1100101111001001000
3211102101000210210202111
43122123101211321020
512320311012022440
6255424302512104
722641645164050
oct3323321457110
9742330723674
10234533314120
1190512a3a226
1239554895634
1319168953361
14b4cc628560
15617a06c4ea
hex369b465e48

234533314120 has 64 divisors (see below), whose sum is σ = 603135590400. Its totient is φ = 80404765440.

The previous prime is 234533314109. The next prime is 234533314229. The reversal of 234533314120 is 21413335432.

It is a happy number.

234533314120 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 2×2345333141202 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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, 4335801 + ... + 4389559.

It is an arithmetic number, because the mean of its divisors is an integer number (9423993600).

Almost surely, 2234533314120 is an apocalyptic number.

234533314120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234533314120 is an abundant number, since it is smaller than the sum of its proper divisors (368602276280).

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

234533314120 is a wasteful number, since it uses less digits than its factorization.

234533314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69358 (or 69354 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 234533314120 its reverse (21413335432), we get a palindrome (255946649552).

The spelling of 234533314120 in words is "two hundred thirty-four billion, five hundred thirty-three million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 15581 31162 53759 62324 77905 107518 109067 124648 155810 215036 218134 268795 311620 376313 430072 436268 537590 545335 623240 752626 872536 1075180 1090670 1505252 1881565 2150360 2181340 3010504 3763130 4362680 7526260 15052520 837618979 1675237958 3350475916 4188094895 5863332853 6700951832 8376189790 11726665706 16752379580 23453331412 29316664265 33504759160 46906662824 58633328530 117266657060 234533314120