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2099196 = 2234111931
BaseRepresentation
bin1000000000011111111100
310221122120000
420000133330
51014133241
6112554300
723562051
oct10003774
93848500
102099196
111204180
12852990
13586638
143c9028
152b6eb6
hex2007fc

2099196 has 120 divisors (see below), whose sum is σ = 6504960. Its totient is φ = 583200.

The previous prime is 2099191. The next prime is 2099197. The reversal of 2099196 is 6919902.

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

It is a d-powerful number, because it can be written as 221 + 0 + 9 + 9 + 1 + 93 + 64 .

It is a self number, because there is not a number n which added to its sum of digits gives 2099196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2099191) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67701 + ... + 67731.

It is an arithmetic number, because the mean of its divisors is an integer number (54208).

22099196 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 2099196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252480).

2099196 is an abundant number, since it is smaller than the sum of its proper divisors (4405764).

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

2099196 is a wasteful number, since it uses less digits than its factorization.

2099196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 2099196 is about 1448.8602417073. The cubic root of 2099196 is about 128.0415717833.

2099196 divided by its sum of digits (36) gives a triangular number (58311 = T341).

The spelling of 2099196 in words is "two million, ninety-nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 31 33 36 38 44 54 57 62 66 76 81 93 99 108 114 124 132 162 171 186 198 209 228 279 297 324 341 342 372 396 418 513 558 589 594 627 682 684 836 837 891 1023 1026 1116 1178 1188 1254 1364 1539 1674 1767 1782 1881 2046 2052 2356 2508 2511 3069 3078 3348 3534 3564 3762 4092 5022 5301 5643 6138 6156 6479 7068 7524 9207 10044 10602 11286 12276 12958 15903 16929 18414 19437 21204 22572 25916 27621 31806 33858 36828 38874 47709 55242 58311 63612 67716 77748 95418 110484 116622 174933 190836 233244 349866 524799 699732 1049598 2099196