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2293992 = 2332151211
BaseRepresentation
bin1000110000000011101000
311022112202200
420300003220
51041401432
6121100200
725333011
oct10600350
94275680
102293992
111327568
12927660
136241bc
1443a008
15304a7c
hex2300e8

2293992 has 48 divisors (see below), whose sum is σ = 6283680. Its totient is φ = 756000.

The previous prime is 2293981. The next prime is 2294009. The reversal of 2293992 is 2993922.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a d-powerful number, because it can be written as 2 + 23 + 94 + 311 + 94 + 94 + 221 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10767 + ... + 10977.

It is an arithmetic number, because the mean of its divisors is an integer number (130910).

22293992 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 2293992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141840).

2293992 is an abundant number, since it is smaller than the sum of its proper divisors (3989688).

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

2293992 is a wasteful number, since it uses less digits than its factorization.

2293992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 367 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 2293992 is about 1514.5930146412. The cubic root of 2293992 is about 131.8855757711.

The spelling of 2293992 in words is "two million, two hundred ninety-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 211 302 422 453 604 633 844 906 1208 1266 1359 1688 1812 1899 2532 2718 3624 3798 5064 5436 7596 10872 15192 31861 63722 95583 127444 191166 254888 286749 382332 573498 764664 1146996 2293992