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2190418080 = 253547151643
BaseRepresentation
bin1000001010001111…
…0010000010100000
312122122122202201120
42002203302002200
513441221334310
61001204132240
7105165150354
oct20243620240
95578582646
102190418080
11a24485584
12511697080
1328ba58196
1416aca5464
15cc477b70
hex828f20a0

2190418080 has 192 divisors, whose sum is σ = 7104319488. Its totient is φ = 567014400.

The previous prime is 2190418049. The next prime is 2190418081. The reversal of 2190418080 is 808140912.

It is not an unprimeable number, because it can be changed into a prime (2190418081) 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, 3406239 + ... + 3406881.

It is an arithmetic number, because the mean of its divisors is an integer number (37001664).

Almost surely, 22190418080 is an apocalyptic number.

2190418080 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 2190418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552159744).

2190418080 is an abundant number, since it is smaller than the sum of its proper divisors (4913901408).

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

2190418080 is a wasteful number, since it uses less digits than its factorization.

2190418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2190418080 is about 46801.9025254316. The cubic root of 2190418080 is about 1298.7004923444.

Adding to 2190418080 its reverse (808140912), we get a palindrome (2998558992).

The spelling of 2190418080 in words is "two billion, one hundred ninety million, four hundred eighteen thousand, eighty".