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221221002222 = 2321131375318379
BaseRepresentation
bin1100111000000111001…
…1001001101111101110
3210011000021100021220200
43032001303021233232
512111030034032342
6245343313454330
721661030331103
oct3160163115756
9704007307820
10221221002222
1185901541270
1236a5a5713a6
1317b2696291c
14a9c8602aaa
155b4b4c894c
hex3381cc9bee

221221002222 has 192 divisors, whose sum is σ = 564831221760. Its totient is φ = 61926508800.

The previous prime is 221221002221. The next prime is 221221002287. The reversal of 221221002222 is 222200122122.

221221002222 is a `hidden beast` number, since 221 + 221 + 0 + 0 + 2 + 222 = 666.

It is a super-2 number, since 2×2212210022222 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 221221002195 and 221221002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221221002221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12027429 + ... + 12045807.

It is an arithmetic number, because the mean of its divisors is an integer number (2941829280).

Almost surely, 2221221002222 is an apocalyptic number.

221221002222 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 221221002222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282415610880).

221221002222 is an abundant number, since it is smaller than the sum of its proper divisors (343610219538).

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

221221002222 is a wasteful number, since it uses less digits than its factorization.

221221002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18519 (or 18516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221221002222 its reverse (222200122122), we get a palindrome (443421124344).

The spelling of 221221002222 in words is "two hundred twenty-one billion, two hundred twenty-one million, two thousand, two hundred twenty-two".