Search a number
-
+
2163252 = 2237213283
BaseRepresentation
bin1000010000001000110100
311001220102110
420100020310
51023211002
6114211020
724246600
oct10201064
94056373
102163252
111248313
12883a70
135a9840
14404500
152cae6c
hex210234

2163252 has 72 divisors (see below), whose sum is σ = 6345696. Its totient is φ = 568512.

The previous prime is 2163251. The next prime is 2163263. The reversal of 2163252 is 2523612.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7503 + ... + 7785.

22163252 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 2163252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172848).

2163252 is an abundant number, since it is smaller than the sum of its proper divisors (4182444).

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

2163252 is a wasteful number, since it uses less digits than its factorization.

2163252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 2163252 is about 1470.7997824313. The cubic root of 2163252 is about 129.3309212951.

Adding to 2163252 its reverse (2523612), we get a palindrome (4686864).

It can be divided in two parts, 21632 and 52, that multiplied together give a cube (1124864 = 1043).

The spelling of 2163252 in words is "two million, one hundred sixty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 283 294 364 546 566 588 637 849 1092 1132 1274 1698 1911 1981 2548 3396 3679 3822 3962 5943 7358 7644 7924 11037 11886 13867 14716 22074 23772 25753 27734 41601 44148 51506 55468 77259 83202 103012 154518 166404 180271 309036 360542 540813 721084 1081626 2163252