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2205450 = 2325213229
BaseRepresentation
bin1000011010011100001010
311011001022100
420122130022
51031033300
6115134230
724513612
oct10323412
94131270
102205450
111276a95
128a4376
135c2b00
14415a42
152d8700
hex21a70a

2205450 has 108 divisors (see below), whose sum is σ = 6637410. Its totient is φ = 524160.

The previous prime is 2205449. The next prime is 2205451. The reversal of 2205450 is 545022.

It is an interprime number because it is at equal distance from previous prime (2205449) and next prime (2205451).

It can be written as a sum of positive squares in 9 ways, for example, as 35721 + 2169729 = 189^2 + 1473^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2205451) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 76036 + ... + 76064.

22205450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318705).

2205450 is an abundant number, since it is smaller than the sum of its proper divisors (4431960).

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

2205450 is a wasteful number, since it uses less digits than its factorization.

2205450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2205450 is about 1485.0757556435. The cubic root of 2205450 is about 130.1664534469.

The spelling of 2205450 in words is "two million, two hundred five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 29 30 39 45 50 58 65 75 78 87 90 117 130 145 150 169 174 195 225 234 261 290 325 338 377 390 435 450 507 522 585 650 725 754 845 870 975 1014 1131 1170 1305 1450 1521 1690 1885 1950 2175 2262 2535 2610 2925 3042 3393 3770 4225 4350 4901 5070 5655 5850 6525 6786 7605 8450 9425 9802 11310 12675 13050 14703 15210 16965 18850 24505 25350 28275 29406 33930 38025 44109 49010 56550 73515 76050 84825 88218 122525 147030 169650 220545 245050 367575 441090 735150 1102725 2205450