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2230140 = 22351131109
BaseRepresentation
bin1000100000011101111100
311012022011210
420200131330
51032331030
6115444420
724645603
oct10403574
94168153
102230140
1112935a0
128b6710
13601113
14420a3a
152e0bb0
hex22077c

2230140 has 96 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 518400.

The previous prime is 2230139. The next prime is 2230147. The reversal of 2230140 is 410322.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20406 + ... + 20514.

It is an arithmetic number, because the mean of its divisors is an integer number (73920).

22230140 is an apocalyptic number.

2230140 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 2230140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2230140 is an abundant number, since it is smaller than the sum of its proper divisors (4866180).

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

2230140 is a wasteful number, since it uses less digits than its factorization.

2230140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2230140 is about 1493.3653270382. The cubic root of 2230140 is about 130.6503895917.

Adding to 2230140 its reverse (410322), we get a palindrome (2640462).

The spelling of 2230140 in words is "two million, two hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 109 110 124 132 155 165 186 218 220 310 327 330 341 372 436 465 545 620 654 660 682 930 1023 1090 1199 1308 1364 1635 1705 1860 2046 2180 2398 3270 3379 3410 3597 4092 4796 5115 5995 6540 6758 6820 7194 10137 10230 11990 13516 14388 16895 17985 20274 20460 23980 33790 35970 37169 40548 50685 67580 71940 74338 101370 111507 148676 185845 202740 223014 371690 446028 557535 743380 1115070 2230140