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220422384 = 2435721389
BaseRepresentation
bin11010010001101…
…10000011110000
3120100202121200000
431020312003300
5422412004014
633512230000
75314362600
oct1510660360
9510677600
10220422384
11103471666
126199b300
1336887a60
14213bac00
1514540509
hexd2360f0

220422384 has 360 divisors, whose sum is σ = 810416880. Its totient is φ = 57480192.

The previous prime is 220422383. The next prime is 220422413. The reversal of 220422384 is 483224022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220422383) 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, 2476612 + ... + 2476700.

It is an arithmetic number, because the mean of its divisors is an integer number (2251158).

Almost surely, 2220422384 is an apocalyptic number.

220422384 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 220422384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405208440).

220422384 is an abundant number, since it is smaller than the sum of its proper divisors (589994496).

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

220422384 is a wasteful number, since it uses less digits than its factorization.

220422384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 220422384 is about 14846.6287082287. The cubic root of 220422384 is about 604.0671679466.

The spelling of 220422384 in words is "two hundred twenty million, four hundred twenty-two thousand, three hundred eighty-four".