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2189617920 = 2834572431
BaseRepresentation
bin1000001010000010…
…1110101100000000
312122121011010010000
42002200232230000
513441020233140
61001135040000
7105155305500
oct20240565400
95577133100
102189617920
11a23a89396
12511370000
1328b837c09
1416ab37a00
15cc36aa30
hex8282eb00

2189617920 has 540 divisors, whose sum is σ = 9135159264. Its totient is φ = 499322880.

The previous prime is 2189617889. The next prime is 2189617951. The reversal of 2189617920 is 297169812.

2189617920 is a `hidden beast` number, since 2 + 1 + 8 + 9 + 617 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2189617889) and next prime (2189617951).

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080105 + ... + 5080535.

Almost surely, 22189617920 is an apocalyptic number.

2189617920 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 2189617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567579632).

2189617920 is an abundant number, since it is smaller than the sum of its proper divisors (6945541344).

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

2189617920 is an equidigital number, since it uses as much as digits as its factorization.

2189617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 2189617920 is about 46793.3533741706. The cubic root of 2189617920 is about 1298.5423346001.

The spelling of 2189617920 in words is "two billion, one hundred eighty-nine million, six hundred seventeen thousand, nine hundred twenty".