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2293830 = 2325711331
BaseRepresentation
bin1000110000000001000110
311022112112200
420300001012
51041400310
6121055330
725332360
oct10600106
94275480
102293830
111327430
12927546
136240c6
14439d30
153049c0
hex230046

2293830 has 96 divisors (see below), whose sum is σ = 7458048. Its totient is φ = 475200.

The previous prime is 2293829. The next prime is 2293831. The reversal of 2293830 is 383922.

It is an interprime number because it is at equal distance from previous prime (2293829) and next prime (2293831).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2293794 and 2293803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6765 + ... + 7095.

It is an arithmetic number, because the mean of its divisors is an integer number (77688).

22293830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729024).

2293830 is an abundant number, since it is smaller than the sum of its proper divisors (5164218).

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

2293830 is a wasteful number, since it uses less digits than its factorization.

2293830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2293830 is about 1514.5395339838. The cubic root of 2293830 is about 131.8824711445.

The spelling of 2293830 in words is "two million, two hundred ninety-three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 331 385 462 495 630 662 693 770 990 993 1155 1386 1655 1986 2310 2317 2979 3310 3465 3641 4634 4965 5958 6930 6951 7282 9930 10923 11585 13902 14895 18205 20853 21846 23170 25487 29790 32769 34755 36410 41706 50974 54615 65538 69510 76461 104265 109230 127435 152922 163845 208530 229383 254870 327690 382305 458766 764610 1146915 2293830