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214432230320 = 245711314912287
BaseRepresentation
bin1100011110110100101…
…0000010101110110000
3202111111011001221121022
43013231022002232300
512003124122332240
6242301522515012
721330554612150
oct3075512025660
9674434057538
10214432230320
1182a38449480
1235684b05a68
13172b4345829
14a542b4c760
1558a04d59b5
hex31ed282bb0

214432230320 has 320 divisors, whose sum is σ = 643213688832. Its totient is φ = 64520064000.

The previous prime is 214432230317. The next prime is 214432230323. The reversal of 214432230320 is 23032234412.

It is an interprime number because it is at equal distance from previous prime (214432230317) and next prime (214432230323).

It is a self number, because there is not a number n which added to its sum of digits gives 214432230320.

It is not an unprimeable number, because it can be changed into a prime (214432230323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93760217 + ... + 93762503.

Almost surely, 2214432230320 is an apocalyptic number.

214432230320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214432230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321606844416).

214432230320 is an abundant number, since it is smaller than the sum of its proper divisors (428781458512).

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

214432230320 is a wasteful number, since it uses less digits than its factorization.

214432230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 214432230320 its reverse (23032234412), we get a palindrome (237464464732).

The spelling of 214432230320 in words is "two hundred fourteen billion, four hundred thirty-two million, two hundred thirty thousand, three hundred twenty".