Search a number
-
+
2192292 = 223353383
BaseRepresentation
bin1000010111001110100100
311010101021000
420113032210
51030123132
6114553300
724430344
oct10271644
94111230
102192292
111268113
12898830
135b9b1b
14410d24
152d487c
hex2173a4

2192292 has 48 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 715104.

The previous prime is 2192273. The next prime is 2192293. The reversal of 2192292 is 2922912.

It is a super-2 number, since 2×21922922 = 9612288426528, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2192293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5533 + ... + 5915.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

22192292 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 2192292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2192292 is an abundant number, since it is smaller than the sum of its proper divisors (3613788).

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

2192292 is a wasteful number, since it uses less digits than its factorization.

2192292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

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

The square root of 2192292 is about 1480.6390512208. The cubic root of 2192292 is about 129.9070736298.

The spelling of 2192292 in words is "two million, one hundred ninety-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 383 477 636 766 954 1149 1431 1532 1908 2298 2862 3447 4596 5724 6894 10341 13788 20299 20682 40598 41364 60897 81196 121794 182691 243588 365382 548073 730764 1096146 2192292