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2245068 = 2232759151
BaseRepresentation
bin1000100100000111001100
311020001122200
420210013030
51033320233
6120041500
725040250
oct10440714
94201580
102245068
1112a3831
12903290
13607b57
14426260
152e5313
hex2241cc

2245068 has 72 divisors (see below), whose sum is σ = 6639360. Its totient is φ = 626400.

The previous prime is 2245063. The next prime is 2245121. The reversal of 2245068 is 8605422.

2245068 = T22 + T23 + ... + T237.

It is not an unprimeable number, because it can be changed into a prime (2245063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14793 + ... + 14943.

22245068 is an apocalyptic number.

2245068 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 2245068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319680).

2245068 is an abundant number, since it is smaller than the sum of its proper divisors (4394292).

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

2245068 is a wasteful number, since it uses less digits than its factorization.

2245068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2245068 is about 1498.3550980992. The cubic root of 2245068 is about 130.9412552489.

The spelling of 2245068 in words is "two million, two hundred forty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 151 177 236 252 302 354 413 453 531 604 708 826 906 1057 1062 1239 1359 1652 1812 2114 2124 2478 2718 3171 3717 4228 4956 5436 6342 7434 8909 9513 12684 14868 17818 19026 26727 35636 38052 53454 62363 80181 106908 124726 160362 187089 249452 320724 374178 561267 748356 1122534 2245068