[go: up one dir, main page]

Search a number
-
+
2192632 = 231329727
BaseRepresentation
bin1000010111010011111000
311010101201121
420113103320
51030131012
6114555024
724431341
oct10272370
94111647
102192632
1112683a2
12898a74
135ba020
144110c8
152d4a07
hex2174f8

2192632 has 32 divisors (see below), whose sum is σ = 4586400. Its totient is φ = 975744.

The previous prime is 2192629. The next prime is 2192633. The reversal of 2192632 is 2362912.

It is a happy number.

2192632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2192597 and 2192606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2192633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2653 + ... + 3379.

It is an arithmetic number, because the mean of its divisors is an integer number (143325).

22192632 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 2192632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293200).

2192632 is an abundant number, since it is smaller than the sum of its proper divisors (2393768).

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

2192632 is a wasteful number, since it uses less digits than its factorization.

2192632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 771 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 2192632 is about 1480.7538620581. The cubic root of 2192632 is about 129.9137889947.

The spelling of 2192632 in words is "two million, one hundred ninety-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 727 754 1454 1508 2908 3016 5816 9451 18902 21083 37804 42166 75608 84332 168664 274079 548158 1096316 2192632