Search a number
-
+
2199200328 = 233313783191
BaseRepresentation
bin1000001100010101…
…0010001001001000
312200021011221201000
42003011102021020
514000443402303
61002120255000
7105332615523
oct20305221110
95607157630
102199200328
11a29433836
12514611460
13290811690
1416c10dbba
15cd10eda3
hex83152248

2199200328 has 64 divisors (see below), whose sum is σ = 6578812800. Its totient is φ = 676676160.

The previous prime is 2199200327. The next prime is 2199200351. The reversal of 2199200328 is 8230029912.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2199200292 and 2199200301.

It is not an unprimeable number, because it can be changed into a prime (2199200321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388788 + ... + 394403.

It is an arithmetic number, because the mean of its divisors is an integer number (102793950).

Almost surely, 22199200328 is an apocalyptic number.

It is an amenable number.

2199200328 is an abundant number, since it is smaller than the sum of its proper divisors (4379612472).

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

2199200328 is a wasteful number, since it uses less digits than its factorization.

2199200328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783219 (or 783209 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2199200328 is about 46895.6322912913. The cubic root of 2199200328 is about 1300.4338449418.

The spelling of 2199200328 in words is "two billion, one hundred ninety-nine million, two hundred thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 783191 1566382 2349573 3132764 4699146 6265528 7048719 9398292 10181483 14097438 18796584 20362966 21146157 28194876 30544449 40725932 42292314 56389752 61088898 81451864 84584628 91633347 122177796 169169256 183266694 244355592 274900041 366533388 549800082 733066776 1099600164 2199200328