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222225560480 = 25572112733209
BaseRepresentation
bin1100111011110110101…
…1001111001110100000
3210020121021121010210002
43032331223033032200
512120104220413410
6250031120555132
722024646045300
oct3167553171640
9706537533702
10222225560480
1186277598800
123709aa82aa8
1317c56b077b1
14aa81bb9600
155ba97aa7a5
hex33bdacf3a0

222225560480 has 432 divisors, whose sum is σ = 680698899720. Its totient is φ = 68294983680.

The previous prime is 222225560467. The next prime is 222225560483. The reversal of 222225560480 is 84065522222.

It can be written as a sum of positive squares in 4 ways, for example, as 188866729744 + 33358830736 = 434588^2 + 182644^2 .

It is not an unprimeable number, because it can be changed into a prime (222225560483) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69249116 + ... + 69252324.

Almost surely, 2222225560480 is an apocalyptic number.

222225560480 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 222225560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340349449860).

222225560480 is an abundant number, since it is smaller than the sum of its proper divisors (458473339240).

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

222225560480 is a wasteful number, since it uses less digits than its factorization.

222225560480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

The spelling of 222225560480 in words is "two hundred twenty-two billion, two hundred twenty-five million, five hundred sixty thousand, four hundred eighty".