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2232440 = 235721767
BaseRepresentation
bin1000100001000001111000
311012102022222
420201001320
51032414230
6115503212
724655400
oct10410170
94172288
102232440
1112952a1
128b7b08
13602192
14421800
152e16e5
hex221078

2232440 has 96 divisors (see below), whose sum is σ = 6279120. Its totient is φ = 709632.

The previous prime is 2232437. The next prime is 2232463. The reversal of 2232440 is 442322.

2232440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22324403 = 33378025416332352000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 33287 + ... + 33353.

22232440 is an apocalyptic number.

2232440 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 2232440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139560).

2232440 is an abundant number, since it is smaller than the sum of its proper divisors (4046680).

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

2232440 is a wasteful number, since it uses less digits than its factorization.

2232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2232440 is about 1494.1352013790. The cubic root of 2232440 is about 130.6952885147.

Adding to 2232440 its reverse (442322), we get a palindrome (2674762).

The spelling of 2232440 in words is "two million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 67 68 70 85 98 119 134 136 140 170 196 238 245 268 280 335 340 392 469 476 490 536 595 670 680 833 938 952 980 1139 1190 1340 1666 1876 1960 2278 2345 2380 2680 3283 3332 3752 4165 4556 4690 4760 5695 6566 6664 7973 8330 9112 9380 11390 13132 15946 16415 16660 18760 22780 26264 31892 32830 33320 39865 45560 55811 63784 65660 79730 111622 131320 159460 223244 279055 318920 446488 558110 1116220 2232440