Search a number
-
+
2196912 = 243371237
BaseRepresentation
bin1000011000010110110000
311010121121010
420120112300
51030300122
6115030520
724446664
oct10302660
94117533
102196912
111270633
1289b440
135bbc63
144128a4
152d5e0c
hex2185b0

2196912 has 40 divisors (see below), whose sum is σ = 5833456. Its totient is φ = 711936.

The previous prime is 2196889. The next prime is 2196917.

It is a happy number.

2196912 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2196912.

It is not an unprimeable number, because it can be changed into a prime (2196917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1158 + ... + 2394.

22196912 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 2196912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916728).

2196912 is an abundant number, since it is smaller than the sum of its proper divisors (3636544).

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

2196912 is a wasteful number, since it uses less digits than its factorization.

2196912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1279 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 2196912 is about 1482.1983672910. The cubic root of 2196912 is about 129.9982642766.

The spelling of 2196912 in words is "two million, one hundred ninety-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1237 1776 2474 3711 4948 7422 9896 14844 19792 29688 45769 59376 91538 137307 183076 274614 366152 549228 732304 1098456 2196912