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22142204055333 = 341943334590629
BaseRepresentation
bin1010000100011011000100…
…01101010000111100100101
32220101202220021022211220000
411002031202031100330211
510400234213214232313
6115031553233331513
74443502313035365
oct502154215207445
986352807284800
1022142204055333
117067501a4139a
122597383406b99
13c48001c2b53b
1456798cd509a5
15285e82303673
hex142362350f25

22142204055333 has 40 divisors (see below), whose sum is σ = 35627210282400. Its totient is φ = 13659327797472.

The previous prime is 22142204055329. The next prime is 22142204055337. The reversal of 22142204055333 is 33355040224122.

22142204055333 is a `hidden beast` number, since 2 + 2 + 1 + 42 + 20 + 40 + 553 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (22142204055329) and next prime (22142204055337).

It is not a de Polignac number, because 22142204055333 - 22 = 22142204055329 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142204055337) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 167229138 + ... + 167361491.

It is an arithmetic number, because the mean of its divisors is an integer number (890680257060).

Almost surely, 222142204055333 is an apocalyptic number.

It is an amenable number.

22142204055333 is a deficient number, since it is larger than the sum of its proper divisors (13485006227067).

22142204055333 is a wasteful number, since it uses less digits than its factorization.

22142204055333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334590703 (or 334590694 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 22142204055333 its reverse (33355040224122), we get a palindrome (55497244279455).

The spelling of 22142204055333 in words is "twenty-two trillion, one hundred forty-two billion, two hundred four million, fifty-five thousand, three hundred thirty-three".

Divisors: 1 3 9 19 27 43 57 81 129 171 387 513 817 1161 1539 2451 3483 7353 22059 66177 334590629 1003771887 3011315661 6357221951 9033946983 14387397047 19071665853 27101840949 43162191141 57214997559 129486573423 171644992677 273360543893 388459720269 514934978031 820081631679 1165379160807 2460244895037 7380734685111 22142204055333