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2293824 = 26313919
BaseRepresentation
bin1000110000000001000000
311022112112110
420300001000
51041400244
6121055320
725332351
oct10600100
94275473
102293824
111327425
12927540
136240c0
14439d28
153049b9
hex230040

2293824 has 56 divisors (see below), whose sum is σ = 6543040. Its totient is φ = 705024.

The previous prime is 2293817. The next prime is 2293829. The reversal of 2293824 is 4283922.

It is a junction number, because it is equal to n+sod(n) for n = 2293791 and 2293800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2037 + ... + 2955.

It is an arithmetic number, because the mean of its divisors is an integer number (116840).

22293824 is an apocalyptic number.

2293824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2293824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271520).

2293824 is an abundant number, since it is smaller than the sum of its proper divisors (4249216).

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

2293824 is a wasteful number, since it uses less digits than its factorization.

2293824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 937 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2293824 is about 1514.5375531825. The cubic root of 2293824 is about 131.8823561555.

The spelling of 2293824 in words is "two million, two hundred ninety-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 919 1248 1838 2496 2757 3676 5514 7352 11028 11947 14704 22056 23894 29408 35841 44112 47788 58816 71682 88224 95576 143364 176448 191152 286728 382304 573456 764608 1146912 2293824