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2214540 = 223451367
BaseRepresentation
bin1000011100101010001100
311011111210000
420130222030
51031331130
6115244300
724552246
oct10345214
94144700
102214540
1112828a9
128a9690
135c6ca3
14419096
152db260
hex21ca8c

2214540 has 60 divisors (see below), whose sum is σ = 6952176. Its totient is φ = 590112.

The previous prime is 2214521. The next prime is 2214559. The reversal of 2214540 is 454122.

It is an interprime number because it is at equal distance from previous prime (2214521) and next prime (2214559).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 937 + ... + 2303.

22214540 is an apocalyptic number.

2214540 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 2214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3476088).

2214540 is an abundant number, since it is smaller than the sum of its proper divisors (4737636).

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

2214540 is a wasteful number, since it uses less digits than its factorization.

2214540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2214540 is about 1488.1330585670. The cubic root of 2214540 is about 130.3450400080.

Adding to 2214540 its reverse (454122), we get a palindrome (2668662).

It can be divided in two parts, 221 and 4540, that added together give a square (4761 = 692).

The spelling of 2214540 in words is "two million, two hundred fourteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1367 1620 2734 4101 5468 6835 8202 12303 13670 16404 20505 24606 27340 36909 41010 49212 61515 73818 82020 110727 123030 147636 184545 221454 246060 369090 442908 553635 738180 1107270 2214540