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214220014331202 = 23211233141140926267
BaseRepresentation
bin110000101101010011111011…
…110110111010010101000010
31001002111020022010100001210100
4300231103323312322111002
5211034240042132044302
62035335152131143230
763056612440645125
oct6055237366722502
91032436263301710
10214220014331202
116229121a427420
1220039335444b16
13926bb25b86a09
143ac843830a3bc
1519b754a55dd1c
hexc2d4fbdba542

214220014331202 has 384 divisors, whose sum is σ = 559116725207040. Its totient is φ = 58580324352000.

The previous prime is 214220014331153. The next prime is 214220014331237. The reversal of 214220014331202 is 202133410022412.

214220014331202 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 20 + 0 + 1 + 433 + 1 + 202 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8155467673 + ... + 8155493939.

It is an arithmetic number, because the mean of its divisors is an integer number (1456033138560).

Almost surely, 2214220014331202 is an apocalyptic number.

214220014331202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214220014331202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279558362603520).

214220014331202 is an abundant number, since it is smaller than the sum of its proper divisors (344896710875838).

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

214220014331202 is a wasteful number, since it uses less digits than its factorization.

214220014331202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27790 (or 27787 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 214220014331202 its reverse (202133410022412), we get a palindrome (416353424353614).

The spelling of 214220014331202 in words is "two hundred fourteen trillion, two hundred twenty billion, fourteen million, three hundred thirty-one thousand, two hundred two".