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214310214024 = 23340732192387
BaseRepresentation
bin1100011110010111100…
…0100101100110001000
3202111011122110212201020
43013211320211212020
512002401403322044
6242241443352440
721324543522414
oct3074570454610
9674148425636
10214310214024
118298558a865
1235650082720
1317294c93c3a
14a530869d44
155894932a19
hex31e5e25988

214310214024 has 32 divisors (see below), whose sum is σ = 535907322720. Its totient is φ = 71419166336.

The previous prime is 214310213981. The next prime is 214310214029. The reversal of 214310214024 is 420412013412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 214310213985 and 214310214003.

It is not an unprimeable number, because it can be changed into a prime (214310214029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 998442 + ... + 1193945.

It is an arithmetic number, because the mean of its divisors is an integer number (16747103835).

Almost surely, 2214310214024 is an apocalyptic number.

214310214024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214310214024 is an abundant number, since it is smaller than the sum of its proper divisors (321597108696).

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

214310214024 is a wasteful number, since it uses less digits than its factorization.

214310214024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196469 (or 2196465 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214310214024 its reverse (420412013412), we get a palindrome (634722227436).

The spelling of 214310214024 in words is "two hundred fourteen billion, three hundred ten million, two hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 4073 8146 12219 16292 24438 32584 48876 97752 2192387 4384774 6577161 8769548 13154322 17539096 26308644 52617288 8929592251 17859184502 26788776753 35718369004 53577553506 71436738008 107155107012 214310214024