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220885283712 = 27319259113239
BaseRepresentation
bin1100110110110111001…
…0011111001110000000
3210010010212122000200210
43031231302133032000
512104333113034322
6245250122114120
721646512634662
oct3155562371600
9703125560623
10220885283712
1185749a90a55
123698604b940
1317aa223a012
14a995bb2532
155b2bcb170c
hex336dc9f380

220885283712 has 384 divisors, whose sum is σ = 637958592000. Its totient is φ = 67679797248.

The previous prime is 220885283687. The next prime is 220885283713. The reversal of 220885283712 is 217382588022.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220885283713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 924206089 + ... + 924206327.

It is an arithmetic number, because the mean of its divisors is an integer number (1661350500).

Almost surely, 2220885283712 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 220885283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318979296000).

220885283712 is an abundant number, since it is smaller than the sum of its proper divisors (417073308288).

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

220885283712 is a wasteful number, since it uses less digits than its factorization.

220885283712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 220885283712 in words is "two hundred twenty billion, eight hundred eighty-five million, two hundred eighty-three thousand, seven hundred twelve".