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2199146404 = 2271335916829
BaseRepresentation
bin1000001100010100…
…0100111110100100
312200021002012201211
42003011010332210
514000440141104
61002115201204
7105332302360
oct20305047644
95607065654
102199146404
11a293a7274
125145a6204
132907c2c80
1416c0d82a0
15cd0ede04
hex83144fa4

2199146404 has 48 divisors (see below), whose sum is σ = 4750099200. Its totient is φ = 867517056.

The previous prime is 2199146399. The next prime is 2199146407. The reversal of 2199146404 is 4046419912.

It is a super-2 number, since 2×21991464042 = 9672489812452262432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2199146407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122262 + ... + 139090.

It is an arithmetic number, because the mean of its divisors is an integer number (98960400).

Almost surely, 22199146404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199146404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375049600).

2199146404 is an abundant number, since it is smaller than the sum of its proper divisors (2550952796).

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

2199146404 is a wasteful number, since it uses less digits than its factorization.

2199146404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17212 (or 17210 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 2199146404 is about 46895.0573514949. The cubic root of 2199146404 is about 1300.4232160529.

The spelling of 2199146404 in words is "two billion, one hundred ninety-nine million, one hundred forty-six thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 359 364 718 1436 2513 4667 5026 9334 10052 16829 18668 32669 33658 65338 67316 117803 130676 218777 235606 437554 471212 875108 1531439 3062878 6041611 6125756 12083222 24166444 42291277 78540943 84582554 157081886 169165108 314163772 549786601 1099573202 2199146404