Search a number
-
+
2235840 = 263517137
BaseRepresentation
bin1000100001110111000000
311012120222220
420201313000
51033021330
6115531040
725001325
oct10416700
94176886
102235840
111297902
128b9a80
136038a9
14422b4c
152e2710
hex221dc0

2235840 has 112 divisors (see below), whose sum is σ = 7571232. Its totient is φ = 557056.

The previous prime is 2235829. The next prime is 2235841. The reversal of 2235840 is 485322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 214 + 218 + 33 + 59 + 82 + 46 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2235840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16252 + ... + 16388.

22235840 is an apocalyptic number.

2235840 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 2235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785616).

2235840 is an abundant number, since it is smaller than the sum of its proper divisors (5335392).

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

2235840 is a wasteful number, since it uses less digits than its factorization.

2235840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2235840 is about 1495.2725504068. The cubic root of 2235840 is about 130.7616043818.

The spelling of 2235840 in words is "two million, two hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 137 160 170 192 204 240 255 272 274 320 340 408 411 480 510 544 548 680 685 816 822 960 1020 1088 1096 1360 1370 1632 1644 2040 2055 2192 2329 2720 2740 3264 3288 4080 4110 4384 4658 5440 5480 6576 6987 8160 8220 8768 9316 10960 11645 13152 13974 16320 16440 18632 21920 23290 26304 27948 32880 34935 37264 43840 46580 55896 65760 69870 74528 93160 111792 131520 139740 149056 186320 223584 279480 372640 447168 558960 745280 1117920 2235840