Search a number
-
+
2200296 = 233721871
BaseRepresentation
bin1000011001001011101000
311010210020110
420121023220
51030402141
6115054320
724462600
oct10311350
94123213
102200296
11127312a
128a13a0
135c0667
14413c00
152d6e16
hex2192e8

2200296 has 48 divisors (see below), whose sum is σ = 6402240. Its totient is φ = 628320.

The previous prime is 2200291. The next prime is 2200301. The reversal of 2200296 is 6920022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2200291) and next prime (2200301).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241 + ... + 2111.

It is an arithmetic number, because the mean of its divisors is an integer number (133380).

22200296 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 2200296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201120).

2200296 is an abundant number, since it is smaller than the sum of its proper divisors (4201944).

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

2200296 is a wasteful number, since it uses less digits than its factorization.

2200296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2200296 is about 1483.3394756427. The cubic root of 2200296 is about 130.0649773791.

The spelling of 2200296 in words is "two million, two hundred thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1871 3742 5613 7484 11226 13097 14968 22452 26194 39291 44904 52388 78582 91679 104776 157164 183358 275037 314328 366716 550074 733432 1100148 2200296