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2313192 = 23373281
BaseRepresentation
bin1000110100101111101000
311100112002210
420310233220
51043010232
6121325120
725443000
oct10645750
94315083
102313192
11133aa32
129367a0
1362cb6b
14443000
1530a5cc
hex234be8

2313192 has 64 divisors (see below), whose sum is σ = 6768000. Its totient is φ = 658560.

The previous prime is 2313187. The next prime is 2313197. The reversal of 2313192 is 2913132.

It is a happy number.

2313192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2313187) and next prime (2313197).

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

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (2313197) 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 15 ways as a sum of consecutive naturals, for example, 8092 + ... + 8372.

It is an arithmetic number, because the mean of its divisors is an integer number (105750).

22313192 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 2313192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384000).

2313192 is an abundant number, since it is smaller than the sum of its proper divisors (4454808).

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

2313192 is a wasteful number, since it uses less digits than its factorization.

2313192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 2313192 is about 1520.9181437540. The cubic root of 2313192 is about 132.2525010754.

The spelling of 2313192 in words is "two million, three hundred thirteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 281 294 343 392 562 588 686 843 1029 1124 1176 1372 1686 1967 2058 2248 2744 3372 3934 4116 5901 6744 7868 8232 11802 13769 15736 23604 27538 41307 47208 55076 82614 96383 110152 165228 192766 289149 330456 385532 578298 771064 1156596 2313192