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2245040 = 245719211
BaseRepresentation
bin1000100100000110110000
311020001121122
420210012300
51033320130
6120041412
725040210
oct10440660
94201548
102245040
1112a3806
12903268
13607b35
14426240
152e52e5
hex2241b0

2245040 has 80 divisors (see below), whose sum is σ = 6309120. Its totient is φ = 725760.

The previous prime is 2245031. The next prime is 2245043. The reversal of 2245040 is 405422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10535 + ... + 10745.

It is an arithmetic number, because the mean of its divisors is an integer number (78864).

22245040 is an apocalyptic number.

2245040 is a gapful number since it is divisible by the number (20) 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 2245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154560).

2245040 is an abundant number, since it is smaller than the sum of its proper divisors (4064080).

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

2245040 is a wasteful number, since it uses less digits than its factorization.

2245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2245040 is about 1498.3457544906. The cubic root of 2245040 is about 130.9407108897.

The spelling of 2245040 in words is "two million, two hundred forty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 211 266 280 304 380 422 532 560 665 760 844 1055 1064 1330 1477 1520 1688 2110 2128 2660 2954 3376 4009 4220 5320 5908 7385 8018 8440 10640 11816 14770 16036 16880 20045 23632 28063 29540 32072 40090 56126 59080 64144 80180 112252 118160 140315 160360 224504 280630 320720 449008 561260 1122520 2245040