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2245890 = 235431741
BaseRepresentation
bin1000100100010100000010
311020002210010
420210110002
51033332030
6120045350
725042533
oct10442402
94202703
102245890
1112a4409
12903856
1360833a
1442668a
152e56b0
hex224502

2245890 has 32 divisors (see below), whose sum is σ = 5518656. Its totient is φ = 584640.

The previous prime is 2245889. The next prime is 2245931. The reversal of 2245890 is 985422.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420 + ... + 2160.

It is an arithmetic number, because the mean of its divisors is an integer number (172458).

22245890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759328).

2245890 is an abundant number, since it is smaller than the sum of its proper divisors (3272766).

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

2245890 is a wasteful number, since it uses less digits than its factorization.

2245890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2245890 is about 1498.6293737946. The cubic root of 2245890 is about 130.9572340639.

The spelling of 2245890 in words is "two million, two hundred forty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 1741 3482 5223 8705 10446 17410 26115 52230 74863 149726 224589 374315 449178 748630 1122945 2245890