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2249130 = 235137379
BaseRepresentation
bin1000100101000110101010
311020021020010
420211012222
51033433010
6120112350
725055142
oct10450652
94207203
102249130
1112a6894
129056b6
13609960
14427922
152e6620
hex2251aa

2249130 has 64 divisors (see below), whose sum is σ = 5967360. Its totient is φ = 539136.

The previous prime is 2249113. The next prime is 2249141. The reversal of 2249130 is 319422.

It is a junction number, because it is equal to n+sod(n) for n = 2249097 and 2249106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28431 + ... + 28509.

It is an arithmetic number, because the mean of its divisors is an integer number (93240).

22249130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983680).

2249130 is an abundant number, since it is smaller than the sum of its proper divisors (3718230).

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

2249130 is a wasteful number, since it uses less digits than its factorization.

2249130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2249130 is about 1499.7099719612. The cubic root of 2249130 is about 131.0201783108.

The spelling of 2249130 in words is "two million, two hundred forty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 79 130 146 158 195 219 237 365 390 395 438 474 730 790 949 1027 1095 1185 1898 2054 2190 2370 2847 3081 4745 5135 5694 5767 6162 9490 10270 11534 14235 15405 17301 28470 28835 30810 34602 57670 74971 86505 149942 173010 224913 374855 449826 749710 1124565 2249130