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22014411441022 = 273111319731371181
BaseRepresentation
bin1010000000101101000010…
…01011001000001101111110
32212221120001011222102011201
411000112201023020031332
510341141003312103042
6114453140410210114
74431326431531000
oct500264113101576
985846034872151
1022014411441022
117018294386860
122576659a2393a
13c38c47472cb0
14561708ac6370
152829a316a1b7
hex1405a12c837e

22014411441022 has 512 divisors, whose sum is σ = 48668594688000. Its totient is φ = 7337607782400.

The previous prime is 22014411440999. The next prime is 22014411441031.

22014411441022 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×220144114410222 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18640483272 + ... + 18640484452.

It is an arithmetic number, because the mean of its divisors is an integer number (95055849000).

Almost surely, 222014411441022 is an apocalyptic number.

22014411441022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22014411441022 is an abundant number, since it is smaller than the sum of its proper divisors (26654183246978).

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

22014411441022 is a wasteful number, since it uses less digits than its factorization.

22014411441022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

It can be divided in two parts, 2201441 and 1441022, that added together give a palindrome (3642463).

The spelling of 22014411441022 in words is "twenty-two trillion, fourteen billion, four hundred eleven million, four hundred forty-one thousand, twenty-two".