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920048220 = 22345713792
BaseRepresentation
bin110110110101101…
…101001001011100
32101010020021220000
4312311231021130
53341013020340
6231143454300
731541165220
oct6665551134
92333207800
10920048220
11432385933
12218157390
131187c5a40
148a298780
1555b8bd30
hex36d6d25c

920048220 has 360 divisors, whose sum is σ = 3597812064. Its totient is φ = 191662848.

The previous prime is 920048203. The next prime is 920048237. The reversal of 920048220 is 22840029.

It is an interprime number because it is at equal distance from previous prime (920048203) and next prime (920048237).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11646141 + ... + 11646219.

Almost surely, 2920048220 is an apocalyptic number.

920048220 is a gapful number since it is divisible by the number (90) 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 920048220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798906032).

920048220 is an abundant number, since it is smaller than the sum of its proper divisors (2677763844).

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

920048220 is a wasteful number, since it uses less digits than its factorization.

920048220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 920048220 is about 30332.2966489516. The cubic root of 920048220 is about 972.6058180355.

Adding to 920048220 its reverse (22840029), we get a palindrome (942888249).

The spelling of 920048220 in words is "nine hundred twenty million, forty-eight thousand, two hundred twenty".