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214335250530 = 2354367237013
BaseRepresentation
bin1100011110011101100…
…0000110000001100010
3202111020101120212100020
43013213120012001202
512002424311004110
6242244140134310
721325266366222
oct3074730060142
9674211525306
10214335250530
1182998730095
1235658537396
131729a21b93b
14a533d06082
155896c2ad70
hex31e7606062

214335250530 has 96 divisors (see below), whose sum is σ = 534355424064. Its totient is φ = 54992133504.

The previous prime is 214335250511. The next prime is 214335250537. The reversal of 214335250530 is 35052533412.

It is a junction number, because it is equal to n+sod(n) for n = 214335250491 and 214335250500.

It is not an unprimeable number, because it can be changed into a prime (214335250537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5772304 + ... + 5809316.

It is an arithmetic number, because the mean of its divisors is an integer number (5566202334).

Almost surely, 2214335250530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214335250530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267177712032).

214335250530 is an abundant number, since it is smaller than the sum of its proper divisors (320020173534).

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

214335250530 is a wasteful number, since it uses less digits than its factorization.

214335250530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37200 (or 37133 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 33.

Adding to 214335250530 its reverse (35052533412), we get a palindrome (249387783942).

The spelling of 214335250530 in words is "two hundred fourteen billion, three hundred thirty-five million, two hundred fifty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 67 86 129 134 201 215 258 335 402 430 645 670 1005 1290 2010 2881 4489 5762 8643 8978 13467 14405 17286 22445 26934 28810 37013 43215 44890 67335 74026 86430 111039 134670 185065 193027 222078 370130 386054 555195 579081 965135 1110390 1158162 1591559 1930270 2479871 2895405 3183118 4774677 4959742 5790810 7439613 7957795 9549354 12399355 14879226 15915590 23873385 24798710 37198065 47746770 74396130 106634453 166151357 213268906 319903359 332302714 498454071 533172265 639806718 830756785 996908142 1066344530 1599516795 1661513570 2492270355 3199033590 4984540710 7144508351 14289016702 21433525053 35722541755 42867050106 71445083510 107167625265 214335250530