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221202212112 = 2432710115114389
BaseRepresentation
bin1100111000000010101…
…1011110010100010000
3210010221221222122201200
43032000223132110100
512111010231241422
6245341403031200
721660411531330
oct3160053362420
9703857878650
10221202212112
11858a1977a52
1236a5420b500
1317b22ab410b
14a9c5d110c0
155b49a162ac
hex3380ade510

221202212112 has 240 divisors, whose sum is σ = 719282653440. Its totient is φ = 62156160000.

The previous prime is 221202212083. The next prime is 221202212141. The reversal of 221202212112 is 211212202122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221202212083) and next prime (221202212141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15365814 + ... + 15380202.

It is an arithmetic number, because the mean of its divisors is an integer number (2997011056).

Almost surely, 2221202212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221202212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359641326720).

221202212112 is an abundant number, since it is smaller than the sum of its proper divisors (498080441328).

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

221202212112 is a wasteful number, since it uses less digits than its factorization.

221202212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14662 (or 14653 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221202212112 its reverse (211212202122), we get a palindrome (432414414234).

The spelling of 221202212112 in words is "two hundred twenty-one billion, two hundred two million, two hundred twelve thousand, one hundred twelve".