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22081454226 = 2351397137263
BaseRepresentation
bin10100100100001010…
…000100000010010010
32002222220011002200000
4110210022010002102
5330210323013401
614051042110430
71411125156366
oct244412040222
962886132600
1022081454226
119401450427
12434304b416
13210b9a1260
1410d69052a6
1589386d186
hex524284092

22081454226 has 192 divisors, whose sum is σ = 54583296768. Its totient is φ = 6649786368.

The previous prime is 22081454209. The next prime is 22081454243. The reversal of 22081454226 is 62245418022.

22081454226 is a `hidden beast` number, since 220 + 8 + 1 + 4 + 5 + 422 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (22081454209) and next prime (22081454243).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83959771 + ... + 83960033.

It is an arithmetic number, because the mean of its divisors is an integer number (284288004).

Almost surely, 222081454226 is an apocalyptic number.

22081454226 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22081454226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27291648384).

22081454226 is an abundant number, since it is smaller than the sum of its proper divisors (32501842542).

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

22081454226 is a wasteful number, since it uses less digits than its factorization.

22081454226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 22081454226 in words is "twenty-two billion, eighty-one million, four hundred fifty-four thousand, two hundred twenty-six".