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2430512214 = 2313298912073
BaseRepresentation
bin1001000011011110…
…1010110001010110
320021101102210221220
42100313222301112
514434202342324
61041102151210
7114142004304
oct22067526126
96241383856
102430512214
111037a62889
12579b82506
132c970cb10
14190b23274
15e35a1b79
hex90deac56

2430512214 has 64 divisors (see below), whose sum is σ = 5476766400. Its totient is φ = 713889792.

The previous prime is 2430512191. The next prime is 2430512221. The reversal of 2430512214 is 4122150342.

2430512214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195282 + ... + 207354.

It is an arithmetic number, because the mean of its divisors is an integer number (85574475).

Almost surely, 22430512214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430512214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738383200).

2430512214 is an abundant number, since it is smaller than the sum of its proper divisors (3046254186).

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

2430512214 is a wasteful number, since it uses less digits than its factorization.

2430512214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12209.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2430512214 is about 49300.2252936029. The cubic root of 2430512214 is about 1344.5158798102.

Adding to 2430512214 its reverse (4122150342), we get a palindrome (6552662556).

The spelling of 2430512214 in words is "two billion, four hundred thirty million, five hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 89 174 178 267 377 534 754 1131 1157 2262 2314 2581 3471 5162 6942 7743 12073 15486 24146 33553 36219 67106 72438 100659 156949 201318 313898 350117 470847 700234 941694 1050351 1074497 2100702 2148994 3223491 4551521 6446982 9103042 13654563 13968461 27309126 27936922 31160413 41905383 62320826 83810766 93481239 186962478 405085369 810170738 1215256107 2430512214