Search a number
-
+
234533214212000 = 2553115330300323
BaseRepresentation
bin110101010100111010000100…
…111010111100111110100000
31010202102011012221122000120012
4311110322010322330332200
5221220043010314241000
62150451023213504052
7100254315454030034
oct6524720472747640
91122364187560505
10234533214212000
1168802a83177550
122237a136aa2028
13a0b35058b2cb2
1441cb67a7c61c4
151c1ab31839735
hexd54e84ebcfa0

234533214212000 has 96 divisors (see below), whose sum is σ = 628634299011264. Its totient is φ = 85284805152000.

The previous prime is 234533214211979. The next prime is 234533214212009. The reversal of 234533214212000 is 212412335432.

It is a super-2 number, since 2×2345332142120002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (234533214212009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2665106162 + ... + 2665194161.

It is an arithmetic number, because the mean of its divisors is an integer number (6548273948034).

Almost surely, 2234533214212000 is an apocalyptic number.

234533214212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234533214212000 is an abundant number, since it is smaller than the sum of its proper divisors (394101084799264).

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

234533214212000 is a wasteful number, since it uses less digits than its factorization.

234533214212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330300359 (or 5330300341 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 234533214212000 its reverse (212412335432), we get a palindrome (234745626547432).

The spelling of 234533214212000 in words is "two hundred thirty-four trillion, five hundred thirty-three billion, two hundred fourteen million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 5330300323 10660600646 21321201292 26651501615 42642402584 53303003230 58633303553 85284805168 106606006460 117266607106 133257508075 170569610336 213212012920 234533214212 266515016150 293166517765 426424025840 469066428424 533030032300 586333035530 666287540375 852848051680 938132856848 1066060064600 1172666071060 1332575080750 1465832588825 1876265713696 2132120129200 2345332142120 2665150161500 2931665177650 4264240258400 4690664284240 5330300323000 5863330355300 7329162944125 9381328568480 10660600646000 11726660710600 14658325888250 21321201292000 23453321421200 29316651776500 46906642842400 58633303553000 117266607106000 234533214212000