Search a number
-
+
227082493440 = 2933511298667
BaseRepresentation
bin1101001101111100101…
…0111101111000000000
3210201010202202220021000
43103133022331320000
512210031104242230
6252153101532000
722256213226555
oct3233712757000
9721122686230
10227082493440
118833a169390
1238015574000
131854c12401a
14adc2c78a2c
155d90da1b60
hex34df2bde00

227082493440 has 320 divisors, whose sum is σ = 879947608320. Its totient is φ = 55050117120.

The previous prime is 227082493409. The next prime is 227082493481. The reversal of 227082493440 is 44394280722.

It is a happy number.

227082493440 is a `hidden beast` number, since 22 + 70 + 82 + 49 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610987 + ... + 909653.

It is an arithmetic number, because the mean of its divisors is an integer number (2749836276).

Almost surely, 2227082493440 is an apocalyptic number.

227082493440 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 227082493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439973804160).

227082493440 is an abundant number, since it is smaller than the sum of its proper divisors (652865114880).

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

227082493440 is a wasteful number, since it uses less digits than its factorization.

227082493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298710 (or 298688 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 227082493440 in words is "two hundred twenty-seven billion, eighty-two million, four hundred ninety-three thousand, four hundred forty".