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2189347920 = 2433523127347
BaseRepresentation
bin1000001001111110…
…1100110001010000
312122120122101202000
42002133230301100
513440433113140
61001125154000
7105153102354
oct20237546120
95576571660
102189347920
11a23914551
1251125b900
1328b772056
1416aaa7464
15cc315a30
hex827ecc50

2189347920 has 320 divisors, whose sum is σ = 7953776640. Its totient is φ = 552448512.

The previous prime is 2189347913. The next prime is 2189347931. The reversal of 2189347920 is 297439812.

2189347920 is a `hidden beast` number, since 218 + 9 + 347 + 92 + 0 = 666.

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

It is a congruent number.

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, 6309187 + ... + 6309533.

It is an arithmetic number, because the mean of its divisors is an integer number (24855552).

Almost surely, 22189347920 is an apocalyptic number.

2189347920 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 2189347920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976888320).

2189347920 is an abundant number, since it is smaller than the sum of its proper divisors (5764428720).

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

2189347920 is a wasteful number, since it uses less digits than its factorization.

2189347920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2189347920 is about 46790.4682601061. The cubic root of 2189347920 is about 1298.4889583407.

The spelling of 2189347920 in words is "two billion, one hundred eighty-nine million, three hundred forty-seven thousand, nine hundred twenty".