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22230055844640 = 2532572837792801
BaseRepresentation
bin1010000110111110101101…
…00101001111101100100000
32220201011122210222010221100
411003133112211033230200
510403204123244012030
6115140202514154400
74453032335652120
oct503372645175440
986634583863840
1022230055844640
1170a0793a95a46
1225b0400882a00
13c53392982b17
1456bd24812c80
152883c4c93360
hex1437d694fb20

22230055844640 has 288 divisors, whose sum is σ = 87003579551616. Its totient is φ = 5063200358400.

The previous prime is 22230055844627. The next prime is 22230055844677. The reversal of 22230055844640 is 4644855003222.

It is a happy number.

22230055844640 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 0 + 0 + 5 + 584 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 1043761 + ... + 6749040.

It is an arithmetic number, because the mean of its divisors is an integer number (302095762332).

Almost surely, 222230055844640 is an apocalyptic number.

22230055844640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22230055844640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43501789775808).

22230055844640 is an abundant number, since it is smaller than the sum of its proper divisors (64773523706976).

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

22230055844640 is a wasteful number, since it uses less digits than its factorization.

22230055844640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793112 (or 7793101 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 22230055844640 in words is "twenty-two trillion, two hundred thirty billion, fifty-five million, eight hundred forty-four thousand, six hundred forty".