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200224301033020 = 2251123311276452257
BaseRepresentation
bin101101100001101001011010…
…010101101010011000111100
3222020221020220210121010102211
4231201221122111222120330
5202220433332031024040
61545501435111030204
760113504555533345
oct5541513225523074
9866836823533384
10200224301033020
1158885716107310
121a55898936b364
1387950bc077424
143762c9d3030cc
151823460b698ea
hexb61a5a56a63c

200224301033020 has 96 divisors (see below), whose sum is σ = 494078928408576. Its totient is φ = 67396679116800.

The previous prime is 200224301032991. The next prime is 200224301033023. The reversal of 200224301033020 is 20330103422002.

200224301033020 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 2×2002243010330202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 200224301032982 and 200224301033000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200224301033023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638069269 + ... + 638382988.

It is an arithmetic number, because the mean of its divisors is an integer number (5146655504256).

Almost surely, 2200224301033020 is an apocalyptic number.

200224301033020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200224301033020 is an abundant number, since it is smaller than the sum of its proper divisors (293854627375556).

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

200224301033020 is a wasteful number, since it uses less digits than its factorization.

200224301033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276452331 (or 1276452329 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 200224301033020 its reverse (20330103422002), we get a palindrome (220554404455022).

The spelling of 200224301033020 in words is "two hundred trillion, two hundred twenty-four billion, three hundred one million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 31 44 46 55 62 92 110 115 124 155 220 230 253 310 341 460 506 620 682 713 1012 1265 1364 1426 1705 2530 2852 3410 3565 5060 6820 7130 7843 14260 15686 31372 39215 78430 156860 1276452257 2552904514 5105809028 6382261285 12764522570 14040974827 25529045140 28081949654 29358401911 39570019967 56163899308 58716803822 70204874135 79140039934 117433607644 140409748270 146792009555 158280079868 197850099835 280819496540 293584019110 322942421021 395700199670 435270219637 587168038220 645884842042 791400399340 870540439274 910110459241 1291769684084 1614712105105 1741080878548 1820220918482 2176351098185 3229424210210 3640441836964 4352702196370 4550552296205 6458848420420 8705404392740 9101104592410 10011215051651 18202209184820 20022430103302 40044860206604 50056075258255 100112150516510 200224301033020