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2199146248 = 2313174328927
BaseRepresentation
bin1000001100010100…
…0100111100001000
312200021002012112001
42003011010330020
514000440134443
61002115200344
7105332302045
oct20305047410
95607065461
102199146248
11a293a7142
125145a60b4
132907c2b90
1416c0d81cc
15cd0edd4d
hex83144f08

2199146248 has 64 divisors (see below), whose sum is σ = 4811304960. Its totient is φ = 933037056.

The previous prime is 2199146237. The next prime is 2199146251. The reversal of 2199146248 is 8426419912.

It is a junction number, because it is equal to n+sod(n) for n = 2199146198 and 2199146207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61561 + ... + 90487.

It is an arithmetic number, because the mean of its divisors is an integer number (75176640).

Almost surely, 22199146248 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 2199146248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405652480).

2199146248 is an abundant number, since it is smaller than the sum of its proper divisors (2612158712).

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

2199146248 is a wasteful number, since it uses less digits than its factorization.

2199146248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29006 (or 29002 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 2199146248 is about 46895.0556882066. The cubic root of 2199146248 is about 1300.4231853037.

The spelling of 2199146248 in words is "two billion, one hundred ninety-nine million, one hundred forty-six thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 17 26 34 43 52 68 86 104 136 172 221 344 442 559 731 884 1118 1462 1768 2236 2924 4472 5848 9503 19006 28927 38012 57854 76024 115708 231416 376051 491759 752102 983518 1243861 1504204 1967036 2487722 3008408 3934072 4975444 6392867 9950888 12785734 16170193 21145637 25571468 32340386 42291274 51142936 64680772 84582548 129361544 169165096 274893281 549786562 1099573124 2199146248