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226001664000 = 21136537173
BaseRepresentation
bin1101001001111010111…
…1111011100000000000
3210121100110000002000000
43102132233323200000
512200322411222000
6251453532000000
722220350306410
oct3223657734000
9717313002000
10226001664000
1187935058212
1237973600000
1318409226088
14ad1d4ca640
155d2b056000
hex349ebfb800

226001664000 has 1344 divisors, whose sum is σ = 971936521920. Its totient is φ = 51358924800.

The previous prime is 226001663989. The next prime is 226001664017. The reversal of 226001664000 is 466100622.

It is a happy number.

226001664000 is a `hidden beast` number, since 2 + 2 + 6 + 0 + 0 + 16 + 640 + 0 + 0 = 666.

226001664000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 111 ways as a sum of consecutive naturals, for example, 1306367914 + ... + 1306368086.

It is an arithmetic number, because the mean of its divisors is an integer number (723167055).

Almost surely, 2226001664000 is an apocalyptic number.

226001664000 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 226001664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485968260960).

226001664000 is an abundant number, since it is smaller than the sum of its proper divisors (745934857920).

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

226001664000 is an frugal number, since it uses more digits than its factorization.

226001664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 226001664000 its reverse (466100622), we get a palindrome (226467764622).

The spelling of 226001664000 in words is "two hundred twenty-six billion, one million, six hundred sixty-four thousand".