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2245410 = 232561409
BaseRepresentation
bin1000100100001100100010
311020002010100
420210030202
51033323120
6120043230
725041246
oct10441442
94202110
102245410
1112a4012
12903516
1360805b
14426426
152e5490
hex224322

2245410 has 48 divisors (see below), whose sum is σ = 5948280. Its totient is φ = 587520.

The previous prime is 2245391. The next prime is 2245427. The reversal of 2245410 is 145422.

It can be written as a sum of positive squares in 4 ways, for example, as 1687401 + 558009 = 1299^2 + 747^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5286 + ... + 5694.

22245410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974140).

2245410 is an abundant number, since it is smaller than the sum of its proper divisors (3702870).

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

2245410 is a wasteful number, since it uses less digits than its factorization.

2245410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2245410 is about 1498.4692189031. The cubic root of 2245410 is about 130.9479038427.

The spelling of 2245410 in words is "two million, two hundred forty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 409 549 610 818 915 1098 1227 1830 2045 2454 2745 3681 4090 5490 6135 7362 12270 18405 24949 36810 49898 74847 124745 149694 224541 249490 374235 449082 748470 1122705 2245410