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22053503531556 = 223272371709197713
BaseRepresentation
bin1010000001110101110110…
…01111100111101000100100
32220002021221120122101000200
411000322323033213220210
510342311033401002211
6114523123433310500
74434212243031300
oct500727317475044
986067846571020
1022053503531556
11703292489aaa2
122582149865430
13c3c8373bca03
14563576878d00
152839e00b1b56
hex140ebb3e7a24

22053503531556 has 216 divisors, whose sum is σ = 66639752819640. Its totient is φ = 6127085389824.

The previous prime is 22053503531539. The next prime is 22053503531573. The reversal of 22053503531556 is 65513530535022.

22053503531556 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 35 + 0 + 35 + 31 + 556 = 666.

It is an interprime number because it is at equal distance from previous prime (22053503531539) and next prime (22053503531573).

It can be written as a sum of positive squares in 4 ways, for example, as 2703446254656 + 19350057276900 = 1644216^2 + 4398870^2 .

It is a super-2 number, since 2×220535035315562 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111444156 + ... + 111641868.

It is an arithmetic number, because the mean of its divisors is an integer number (308517374165).

Almost surely, 222053503531556 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 22053503531556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33319876409820).

22053503531556 is an abundant number, since it is smaller than the sum of its proper divisors (44586249288084).

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

22053503531556 is a wasteful number, since it uses less digits than its factorization.

22053503531556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199483 (or 199471 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 22053503531556 in words is "twenty-two trillion, fifty-three billion, five hundred three million, five hundred thirty-one thousand, five hundred fifty-six".