Search a number
-
+
2234160 = 2432529107
BaseRepresentation
bin1000100001011100110000
311012111200200
420201130300
51032443120
6115515200
724663405
oct10413460
94174620
102234160
111296615
128b8b00
13602bb6
144222ac
152e1e90
hex221730

2234160 has 120 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 569856.

The previous prime is 2234159. The next prime is 2234161. The reversal of 2234160 is 614322.

It is a happy number.

2234160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2234159) and next prime (2234161).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20827 + ... + 20933.

It is an arithmetic number, because the mean of its divisors is an integer number (65286).

22234160 is an apocalyptic number.

2234160 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 2234160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

2234160 is an abundant number, since it is smaller than the sum of its proper divisors (5600160).

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

2234160 is a wasteful number, since it uses less digits than its factorization.

2234160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2234160 is about 1494.7106743447. The cubic root of 2234160 is about 130.7288449505.

Adding to 2234160 its reverse (614322), we get a palindrome (2848482).

The spelling of 2234160 in words is "two million, two hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 107 116 120 144 145 174 180 214 232 240 261 290 321 348 360 428 435 464 522 535 580 642 696 720 856 870 963 1044 1070 1160 1284 1305 1392 1605 1712 1740 1926 2088 2140 2320 2568 2610 3103 3210 3480 3852 4176 4280 4815 5136 5220 6206 6420 6960 7704 8560 9309 9630 10440 12412 12840 15408 15515 18618 19260 20880 24824 25680 27927 31030 37236 38520 46545 49648 55854 62060 74472 77040 93090 111708 124120 139635 148944 186180 223416 248240 279270 372360 446832 558540 744720 1117080 2234160