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214332230112 = 253711132374637
BaseRepresentation
bin1100011110011100110…
…0100100100111100000
3202111020011220102002220
43013213030210213200
512002423022330422
6242243551311040
721325231616310
oct3074714444740
9674204812086
10214332230112
1182996a57880
123565751b480
1317299701c00
14a53375b440
155896830e5c
hex31e73249e0

214332230112 has 576 divisors, whose sum is σ = 780256157184. Its totient is φ = 49988689920.

The previous prime is 214332230071. The next prime is 214332230159. The reversal of 214332230112 is 211032233412.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46219858 + ... + 46224494.

It is an arithmetic number, because the mean of its divisors is an integer number (1354611384).

Almost surely, 2214332230112 is an apocalyptic number.

214332230112 is a gapful number since it is divisible by the number (22) 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 214332230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390128078592).

214332230112 is an abundant number, since it is smaller than the sum of its proper divisors (565923927072).

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

214332230112 is a wasteful number, since it uses less digits than its factorization.

214332230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 214332230112 its reverse (211032233412), we get a palindrome (425364463524).

It can be divided in two parts, 214332 and 230112, that added together give a palindrome (444444).

The spelling of 214332230112 in words is "two hundred fourteen billion, three hundred thirty-two million, two hundred thirty thousand, one hundred twelve".