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214212543150 = 235243193172079
BaseRepresentation
bin1100011110000000010…
…0000000001010101110
3202110220211200200110110
43013200010000022232
512002201402340100
6242224034120450
721322246400604
oct3074004001256
9673824620413
10214212543150
118293543a231
1235623420126
131727a987618
14a5218c3874
15588b08d250
hex31e01002ae

214212543150 has 96 divisors (see below), whose sum is σ = 546421455360. Its totient is φ = 55505479680.

The previous prime is 214212543109. The next prime is 214212543173. The reversal of 214212543150 is 51345212412.

It is a super-2 number, since 2×2142125431502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158811 + ... + 1330889.

It is an arithmetic number, because the mean of its divisors is an integer number (5691890160).

Almost surely, 2214212543150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214212543150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273210727680).

214212543150 is an abundant number, since it is smaller than the sum of its proper divisors (332208912210).

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

214212543150 is a wasteful number, since it uses less digits than its factorization.

214212543150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172330 (or 172325 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 214212543150 its reverse (51345212412), we get a palindrome (265557755562).

The spelling of 214212543150 in words is "two hundred fourteen billion, two hundred twelve million, five hundred forty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 193 215 258 386 430 579 645 965 1075 1158 1290 1930 2150 2895 3225 4825 5790 6450 8299 9650 14475 16598 24897 28950 41495 49794 82990 124485 172079 207475 248970 344158 414950 516237 622425 860395 1032474 1244850 1720790 2581185 4301975 5162370 7399397 8603950 12905925 14798794 22198191 25811850 33211247 36996985 44396382 66422494 73993970 99633741 110990955 166056235 184984925 199267482 221981910 332112470 369969850 498168705 554954775 830281175 996337410 1109909550 1428083621 1660562350 2490843525 2856167242 4284250863 4981687050 7140418105 8568501726 14280836210 21421254315 35702090525 42842508630 71404181050 107106271575 214212543150