Search a number
-
+
4199202 = 23472232
BaseRepresentation
bin10000000001001100100010
321220100020000
4100001030202
52033333302
6230000430
750456400
oct20011442
97810200
104199202
112408a17
1214a6116
13b40447
147b4470
1557e31c
hex401322

4199202 has 90 divisors (see below), whose sum is σ = 11442123. Its totient is φ = 1147608.

The previous prime is 4199201. The next prime is 4199213. The reversal of 4199202 is 2029914.

4199202 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in only one way, i.e., 2099601 + 2099601 = 1449^2 + 1449^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1449.

It is a super-3 number, since 3×41992023 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4199201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 182563 + ... + 182585.

Almost surely, 24199202 is an apocalyptic number.

4199202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4199202

4199202 is an abundant number, since it is smaller than the sum of its proper divisors (7242921).

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

4199202 is a wasteful number, since it uses less digits than its factorization.

4199202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4199202 is about 2049.1954518786. The cubic root of 4199202 is about 161.3326455738.

The spelling of 4199202 in words is "four million, one hundred ninety-nine thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 49 54 63 69 81 98 126 138 147 161 162 189 207 294 322 378 414 441 483 529 567 621 882 966 1058 1127 1134 1242 1323 1449 1587 1863 2254 2646 2898 3174 3381 3703 3726 3969 4347 4761 6762 7406 7938 8694 9522 10143 11109 13041 14283 20286 22218 25921 26082 28566 30429 33327 42849 51842 60858 66654 77763 85698 91287 99981 155526 182574 199962 233289 299943 466578 599886 699867 1399734 2099601 4199202