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226650493440 = 293557233173
BaseRepresentation
bin1101001100010101101…
…1000001001000000000
3210200000122220000200000
43103011123001020000
512203140011242230
6252042150400000
722242416256420
oct3230533011000
9720018800600
10226650493440
1188138327398
1237b14960000
13184b078a317
14ad81744480
155d67ebbb60
hex34c56c1200

226650493440 has 1920 divisors, whose sum is σ = 1015806984192. Its totient is φ = 47297986560.

The previous prime is 226650493411. The next prime is 226650493469. The reversal of 226650493440 is 44394056622.

226650493440 is a `hidden beast` number, since 2 + 266 + 5 + 0 + 49 + 344 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (226650493411) and next prime (226650493469).

It is a tau number, because it is divible by the number of its divisors (1920).

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3104801244 + ... + 3104801316.

Almost surely, 2226650493440 is an apocalyptic number.

226650493440 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 226650493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507903492096).

226650493440 is an abundant number, since it is smaller than the sum of its proper divisors (789156490752).

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

226650493440 is an equidigital number, since it uses as much as digits as its factorization.

226650493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 226650493440 in words is "two hundred twenty-six billion, six hundred fifty million, four hundred ninety-three thousand, four hundred forty".