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2199890160 = 2432513972423
BaseRepresentation
bin1000001100011111…
…1010100011110000
312200022110222222100
42003013322203300
514001132441120
61002143140400
7105341520636
oct20307724360
95608428870
102199890160
11a29865046
125148a4700
132909c3670
1416c24d356
15cd1e9490
hex831fa8f0

2199890160 has 240 divisors, whose sum is σ = 8041610304. Its totient is φ = 535707648.

The previous prime is 2199890141. The next prime is 2199890213. The reversal of 2199890160 is 610989912.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 906709 + ... + 909131.

Almost surely, 22199890160 is an apocalyptic number.

2199890160 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 2199890160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020805152).

2199890160 is an abundant number, since it is smaller than the sum of its proper divisors (5841720144).

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

2199890160 is a wasteful number, since it uses less digits than its factorization.

2199890160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 2199890160 is about 46902.9866852848. The cubic root of 2199890160 is about 1300.5698014965.

The spelling of 2199890160 in words is "two billion, one hundred ninety-nine million, eight hundred ninety thousand, one hundred sixty".