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300224133342 = 23473761711597
BaseRepresentation
bin1000101111001101100…
…00001011100011011110
31001200221010200011220000
410113212300023203132
514404324334231332
6345530541035130
730455556012330
oct4274660134336
91050833604800
10300224133342
11106362772a71
124a228555aa6
13224073b57a3
1410760c07450
157c221d3b7c
hex45e6c0b8de

300224133342 has 160 divisors (see below), whose sum is σ = 790955022528. Its totient is φ = 83317538304.

The previous prime is 300224133337. The next prime is 300224133361. The reversal of 300224133342 is 243331422003.

300224133342 is a `hidden beast` number, since 300 + 2 + 2 + 4 + 13 + 3 + 342 = 666.

300224133342 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25882288 + ... + 25893884.

Almost surely, 2300224133342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300224133342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395477511264).

300224133342 is an abundant number, since it is smaller than the sum of its proper divisors (490730889186).

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

300224133342 is a wasteful number, since it uses less digits than its factorization.

300224133342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12272 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 300224133342 its reverse (243331422003), we get a palindrome (543555555345).

The spelling of 300224133342 in words is "three hundred billion, two hundred twenty-four million, one hundred thirty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 259 333 378 518 567 617 666 777 999 1134 1234 1554 1851 1998 2331 2997 3702 4319 4662 5553 5994 6993 8638 11106 11597 12957 13986 16659 20979 22829 23194 25914 33318 34791 38871 41958 45658 49977 68487 69582 77742 81179 99954 104373 116613 136974 159803 162358 205461 208746 233226 243537 313119 319606 349839 410922 429089 479409 487074 616383 626238 699678 730611 858178 939357 958818 1232766 1287267 1438227 1461222 1849149 1878714 2191833 2574534 2876454 3003623 3698298 3861801 4314681 4383666 6007246 6575499 7155349 7723602 8629362 9010869 11585403 12944043 13150998 14310698 18021738 21466047 23170806 25888086 27032607 34756209 42932094 50087443 54065214 64398141 69512418 81097821 100174886 128796282 150262329 162195642 193194423 243293463 264747913 300524658 386388846 450786987 486586926 529495826 579583269 794243739 901573974 1159166538 1352360961 1588487478 1853235391 2382731217 2704721922 3706470782 4057082883 4765462434 5559706173 7148193651 8114165766 11119412346 14296387302 16679118519 21444580953 33358237038 42889161906 50037355557 100074711114 150112066671 300224133342