Search a number
-
+
233323221010020 = 223523773517465163
BaseRepresentation
bin110101000011010011001011…
…101101001100011001100100
31010121010111000102221122120220
4311003103023231030121210
5221040231424034310040
62144123112532124340
7100101021632354241
oct6503231355143144
91117114012848526
10233323221010020
1168386905599949
122220372a7666b0
13a026392b4b12b
144188c92dc85c8
151be94146852d0
hexd434cbb4c664

233323221010020 has 96 divisors (see below), whose sum is σ = 653767103111808. Its totient is φ = 62175532649472.

The previous prime is 233323221010013. The next prime is 233323221010081. The reversal of 233323221010020 is 20010122323332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501361959 + ... + 501827121.

It is an arithmetic number, because the mean of its divisors is an integer number (6810073990748).

Almost surely, 2233323221010020 is an apocalyptic number.

233323221010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233323221010020 is an abundant number, since it is smaller than the sum of its proper divisors (420443882101788).

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

233323221010020 is a wasteful number, since it uses less digits than its factorization.

233323221010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471069 (or 471067 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233323221010020 its reverse (20010122323332), we get a palindrome (253333343333352).

The spelling of 233323221010020 in words is "two hundred thirty-three trillion, three hundred twenty-three billion, two hundred twenty-one million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2377 3517 4754 7034 7131 9508 10551 11885 14068 14262 17585 21102 23770 28524 35170 35655 42204 47540 52755 70340 71310 105510 142620 211020 465163 930326 1395489 1860652 2325815 2790978 4651630 5581956 6977445 8359909 9303260 13954890 16719818 25079727 27909780 33439636 41799545 50159454 83599090 100318908 125398635 167198180 250797270 501594540 1105692451 1635978271 2211384902 3271956542 3317077353 4422769804 4907934813 5528462255 6543913084 6634154706 8179891355 9815869626 11056924510 13268309412 16359782710 16585386765 19631739252 22113849020 24539674065 32719565420 33170773530 49079348130 66341547060 98158696260 3888720350167 7777440700334 11666161050501 15554881400668 19443601750835 23332322101002 38887203501670 46664644202004 58330805252505 77774407003340 116661610505010 233323221010020