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2216988144 = 243872431
BaseRepresentation
bin1000010000100100…
…1000110111110000
312201111122200000000
42010021020313300
514020022110034
61003553430000
7105640042200
oct20411106760
95644580000
102216988144
11a38483008
1251a56b300
132943cbc07
14170620400
15ce975599
hex84248df0

2216988144 has 270 divisors, whose sum is σ = 7512068304. Its totient is φ = 631955520.

The previous prime is 2216988133. The next prime is 2216988149. The reversal of 2216988144 is 4418896122.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2216988144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216988149) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5143609 + ... + 5144039.

Almost surely, 22216988144 is an apocalyptic number.

2216988144 is a gapful number since it is divisible by the number (24) 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 2216988144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756034152).

2216988144 is an abundant number, since it is smaller than the sum of its proper divisors (5295080160).

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

2216988144 is an frugal number, since it uses more digits than its factorization.

2216988144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 443 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2216988144 is about 47084.9035679165. The cubic root of 2216988144 is about 1303.9305387869.

The spelling of 2216988144 in words is "two billion, two hundred sixteen million, nine hundred eighty-eight thousand, one hundred forty-four".