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2189617380 = 22335191012113
BaseRepresentation
bin1000001010000010…
…1110100011100100
312122121011002101000
42002200232203210
513441020224010
61001135033300
7105155304066
oct20240564344
95577132330
102189617380
11a23a88a45
1251136b830
1328b8378b2
1416ab37736
15cc36a7c0
hex8282e8e4

2189617380 has 192 divisors, whose sum is σ = 7245100800. Its totient is φ = 547430400.

The previous prime is 2189617369. The next prime is 2189617393. The reversal of 2189617380 is 837169812.

2189617380 is a `hidden beast` number, since 21 + 8 + 9 + 617 + 3 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1035204 + ... + 1037316.

It is an arithmetic number, because the mean of its divisors is an integer number (37734900).

Almost surely, 22189617380 is an apocalyptic number.

2189617380 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 2189617380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622550400).

2189617380 is an abundant number, since it is smaller than the sum of its proper divisors (5055483420).

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

2189617380 is a wasteful number, since it uses less digits than its factorization.

2189617380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2189617380 is about 46793.3476041200. The cubic root of 2189617380 is about 1298.5422278519.

The spelling of 2189617380 in words is "two billion, one hundred eighty-nine million, six hundred seventeen thousand, three hundred eighty".