Search a number
-
+
300222033120 = 2533569495841
BaseRepresentation
bin1000101111001101010…
…00001010110011100000
31001200220222201110221000
410113212220022303200
514404323320024440
6345530424032000
730455532114252
oct4274650126340
91050828643830
10300222033120
11106361569049
124a227902600
1322406b2b859
141076081bcd2
157c21e1b730
hex45e6a0ace0

300222033120 has 96 divisors (see below), whose sum is σ = 1050777131040. Its totient is φ = 80059207680.

The previous prime is 300222033073. The next prime is 300222033157. The reversal of 300222033120 is 21330222003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 300222033093 and 300222033102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34743601 + ... + 34752240.

It is an arithmetic number, because the mean of its divisors is an integer number (10945595115).

Almost surely, 2300222033120 is an apocalyptic number.

300222033120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

300222033120 is an abundant number, since it is smaller than the sum of its proper divisors (750555097920).

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

300222033120 is a wasteful number, since it uses less digits than its factorization.

300222033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69495865 (or 69495851 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 300222033120 its reverse (21330222003), we get a palindrome (321552255123).

The spelling of 300222033120 in words is "three hundred billion, two hundred twenty-two million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 69495841 138991682 208487523 277983364 347479205 416975046 555966728 625462569 694958410 833950092 1042437615 1111933456 1250925138 1389916820 1667900184 1876387707 2084875230 2223866912 2501850276 2779833640 3127312845 3335800368 3752775414 4169750460 5003700552 5559667280 6254625690 6671600736 7505550828 8339500920 9381938535 10007401104 11119334560 12509251380 15011101656 16679001840 18763877070 20014802208 25018502760 30022203312 33358003680 37527754140 50037005520 60044406624 75055508280 100074011040 150111016560 300222033120