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222168427668 = 223311313911119
BaseRepresentation
bin1100111011101001000…
…1010010110010010100
3210020110022002111022000
43032322101102302110
512120000104141133
6250021320235300
722023353322315
oct3167221226224
9706408074260
10222168427668
1186248316000
123708390bb30
1317c480228b5
14aa7838660c
155ba4772413
hex33ba452c94

222168427668 has 192 divisors, whose sum is σ = 638163456000. Its totient is φ = 66833411040.

The previous prime is 222168427667. The next prime is 222168427669. The reversal of 222168427668 is 866724861222.

222168427668 is a `hidden beast` number, since 22 + 216 + 84 + 276 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (222168427667) and next prime (222168427669).

It is a super-3 number, since 3×2221684276683 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222168427667) 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, 19975413 + ... + 19986531.

It is an arithmetic number, because the mean of its divisors is an integer number (3323768000).

Almost surely, 2222168427668 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 222168427668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319081728000).

222168427668 is an abundant number, since it is smaller than the sum of its proper divisors (415995028332).

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

222168427668 is a wasteful number, since it uses less digits than its factorization.

222168427668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11304 (or 11274 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 222168427668 in words is "two hundred twenty-two billion, one hundred sixty-eight million, four hundred twenty-seven thousand, six hundred sixty-eight".