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2198196 = 22327111361
BaseRepresentation
bin1000011000101010110100
311010200100200
420120222310
51030320241
6115040500
724453510
oct10305264
94120320
102198196
1112715a0
128a0130
135bc710
14413140
152d64b6
hex218ab4

2198196 has 144 divisors (see below), whose sum is σ = 7582848. Its totient is φ = 518400.

The previous prime is 2198191. The next prime is 2198201. The reversal of 2198196 is 6918912.

It is an interprime number because it is at equal distance from previous prime (2198191) and next prime (2198201).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2198196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36006 + ... + 36066.

22198196 is an apocalyptic number.

2198196 is a gapful number since it is divisible by the number (26) 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 2198196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791424).

2198196 is an abundant number, since it is smaller than the sum of its proper divisors (5384652).

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

2198196 is a wasteful number, since it uses less digits than its factorization.

2198196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 97 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 2198196 is about 1482.6314444258. The cubic root of 2198196 is about 130.0235854643.

The spelling of 2198196 in words is "two million, one hundred ninety-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 61 63 66 77 78 84 91 99 117 122 126 132 143 154 156 182 183 198 231 234 244 252 273 286 308 364 366 396 427 429 462 468 546 549 572 671 693 732 793 819 854 858 924 1001 1092 1098 1281 1287 1342 1386 1586 1638 1708 1716 2002 2013 2196 2379 2562 2574 2684 2772 3003 3172 3276 3843 4004 4026 4697 4758 5124 5148 5551 6006 6039 7137 7686 8052 8723 9009 9394 9516 11102 12012 12078 14091 14274 15372 16653 17446 18018 18788 22204 24156 26169 28182 28548 33306 34892 36036 42273 49959 52338 56364 61061 66612 78507 84546 99918 104676 122122 157014 169092 183183 199836 244244 314028 366366 549549 732732 1099098 2198196