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214431221332230 = 235779173382319543
BaseRepresentation
bin110000110000011000101000…
…110001101011100100000110
31001010020102110111120101112220
4300300120220301223210012
5211101220120130112410
62040020202042153210
763111100363561410
oct6060305061534406
91033212414511486
10214431221332230
1162362852260341
122007225a1b2806
139285a14c69336
143ad47529839b0
1519bccac811070
hexc30628c6b906

214431221332230 has 256 divisors, whose sum is σ = 599229321707520. Its totient is φ = 48097663391232.

The previous prime is 214431221332189. The next prime is 214431221332271. The reversal of 214431221332230 is 32233122134412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214431221332189) and next prime (214431221332271).

It is a junction number, because it is equal to n+sod(n) for n = 214431221332191 and 214431221332200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10972267839 + ... + 10972287381.

It is an arithmetic number, because the mean of its divisors is an integer number (2340739537920).

Almost surely, 2214431221332230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214431221332230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299614660853760).

214431221332230 is an abundant number, since it is smaller than the sum of its proper divisors (384798100375290).

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

214431221332230 is a wasteful number, since it uses less digits than its factorization.

214431221332230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23635.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 214431221332230 its reverse (32233122134412), we get a palindrome (246664343466642).

The spelling of 214431221332230 in words is "two hundred fourteen trillion, four hundred thirty-one billion, two hundred twenty-one million, three hundred thirty-two thousand, two hundred thirty".