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200032301344224 = 2532757677555907
BaseRepresentation
bin101101011110110110100110…
…010000111110010111100000
3222020020220100000022100201210
4231132312212100332113200
5202204312123121003344
61545233323131230120
760063566621233656
oct5536664620762740
9866226300270653
10200032301344224
115881124a306358
121a527724ba8340
13877cc71379c0b
14375788796add6
15181d474c52db9
hexb5eda643e5e0

200032301344224 has 48 divisors (see below), whose sum is σ = 525086764610688. Its totient is φ = 66677183167872.

The previous prime is 200032301344153. The next prime is 200032301344229. The reversal of 200032301344224 is 422443103230002.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2000323013442243 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200032301344191 and 200032301344200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200032301344229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22695679 + ... + 30251585.

It is an arithmetic number, because the mean of its divisors is an integer number (10939307596056).

Almost surely, 2200032301344224 is an apocalyptic number.

200032301344224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200032301344224 is an abundant number, since it is smaller than the sum of its proper divisors (325054463266464).

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

200032301344224 is a wasteful number, since it uses less digits than its factorization.

200032301344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7831687 (or 7831679 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 200032301344224 its reverse (422443103230002), we get a palindrome (622475404574226).

The spelling of 200032301344224 in words is "two hundred trillion, thirty-two billion, three hundred one million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 275767 551534 827301 1103068 1654602 2206136 3309204 4412272 6618408 7555907 8824544 13236816 15111814 22667721 26473632 30223628 45335442 60447256 90670884 120894512 181341768 241789024 362683536 725367072 2083669805669 4167339611338 6251009417007 8334679222676 12502018834014 16669358445352 25004037668028 33338716890704 50008075336056 66677433781408 100016150672112 200032301344224