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2333268 = 2232747197
BaseRepresentation
bin1000111001101001010100
311101112122100
420321221110
51044131033
6122002100
725555350
oct10715124
94345570
102333268
111354023
12946330
13639042
1444a460
15311513
hex239a54

2333268 has 72 divisors (see below), whose sum is σ = 6918912. Its totient is φ = 649152.

The previous prime is 2333239. The next prime is 2333293. The reversal of 2333268 is 8623332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11746 + ... + 11942.

It is an arithmetic number, because the mean of its divisors is an integer number (96096).

22333268 is an apocalyptic number.

2333268 is a gapful number since it is divisible by the number (28) 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 2333268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456).

2333268 is an abundant number, since it is smaller than the sum of its proper divisors (4585644).

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

2333268 is a wasteful number, since it uses less digits than its factorization.

2333268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 2333268 is about 1527.5038461490. The cubic root of 2333268 is about 132.6340023227.

Subtracting 2333268 from its reverse (8623332), we obtain a square (6290064 = 25082).

It can be divided in two parts, 2333 and 268, that added together give a square (2601 = 512).

The spelling of 2333268 in words is "two million, three hundred thirty-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 197 252 282 329 394 423 564 591 658 788 846 987 1182 1316 1379 1692 1773 1974 2364 2758 2961 3546 3948 4137 5516 5922 7092 8274 9259 11844 12411 16548 18518 24822 27777 37036 49644 55554 64813 83331 111108 129626 166662 194439 259252 333324 388878 583317 777756 1166634 2333268