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220069248 = 27371931139
BaseRepresentation
bin11010001110111…
…11110110000000
3120100002200020220
431013133312000
5422314203443
633500503040
75311362210
oct1507376600
9510080226
10220069248
11103250313
126184aa80
13367930b9
1421328240
15144c0a83
hexd1dfd80

220069248 has 256 divisors, whose sum is σ = 731136000. Its totient is φ = 57231360.

The previous prime is 220069247. The next prime is 220069249. The reversal of 220069248 is 842960022.

It is an interprime number because it is at equal distance from previous prime (220069247) and next prime (220069249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220069243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1583163 + ... + 1583301.

It is an arithmetic number, because the mean of its divisors is an integer number (2856000).

Almost surely, 2220069248 is an apocalyptic number.

220069248 is a gapful number since it is divisible by the number (28) 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 220069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365568000).

220069248 is an abundant number, since it is smaller than the sum of its proper divisors (511066752).

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

220069248 is a wasteful number, since it uses less digits than its factorization.

220069248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 220069248 is about 14834.7311401319. The cubic root of 220069248 is about 603.7444059853.

The spelling of 220069248 in words is "two hundred twenty million, sixty-nine thousand, two hundred forty-eight".