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23235233253232 = 24711131976355333
BaseRepresentation
bin1010100100001110111111…
…10100110000011101110000
310001021021012100121011211011
411102013133310300131300
511021141224203100412
6121230041354400304
74615455511651630
oct522073764603560
9101237170534734
1023235233253232
117449009480610
122733188730094
13cc70c4784730
145a483c6dc6c0
152a4605d067a7
hex1521dfd30770

23235233253232 has 160 divisors (see below), whose sum is σ = 63625372715520. Its totient is φ = 7916520821760.

The previous prime is 23235233253209. The next prime is 23235233253241.

23235233253232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232352332532322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 37873363 + ... + 38481970.

It is an arithmetic number, because the mean of its divisors is an integer number (397658579472).

Almost surely, 223235233253232 is an apocalyptic number.

23235233253232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23235233253232 is an abundant number, since it is smaller than the sum of its proper divisors (40390139462288).

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

23235233253232 is a wasteful number, since it uses less digits than its factorization.

23235233253232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76355391 (or 76355385 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 40.

It can be divided in two parts, 2323523 and 3253232, that added together give a palindrome (5576755).

The spelling of 23235233253232 in words is "twenty-three trillion, two hundred thirty-five billion, two hundred thirty-three million, two hundred fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 19 22 26 28 38 44 52 56 76 77 88 91 104 112 133 143 152 154 176 182 208 209 247 266 286 304 308 364 418 494 532 572 616 728 836 988 1001 1064 1144 1232 1456 1463 1672 1729 1976 2002 2128 2288 2717 2926 3344 3458 3952 4004 5434 5852 6916 8008 10868 11704 13832 16016 19019 21736 23408 27664 38038 43472 76076 152152 304304 76355333 152710666 305421332 534487331 610842664 839908663 992619329 1068974662 1221685328 1450751327 1679817326 1985238658 2137949324 2901502654 3359634652 3970477316 4275898648 5803005308 5879360641 6719269304 6948335303 7940954632 8551797296 10155259289 10918812619 11606010616 11758721282 13438538608 13896670606 15881909264 15958264597 18859767251 20310518578 21837625238 23212021232 23517442564 27793341212 31916529194 37719534502 40621037156 43675250476 47034885128 55586682424 63833058388 75439069004 76431688333 81242074312 87350500952 94069770256 111173364848 111707852179 127666116776 132018370757 150878138008 152863376666 162484148624 174701001904 207457439761 223415704358 255332233552 264036741514 301756276016 305726753332 414914879522 446831408716 528073483028 611453506664 829829759044 893662817432 1056146966056 1222907013328 1452202078327 1659659518088 1787325634864 2112293932112 2904404156654 3319319036176 5808808313308 11617616626616 23235233253232