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2214120 = 233518451
BaseRepresentation
bin1000011100100011101000
311011111012110
420130203220
51031322440
6115242320
724551106
oct10344350
94144173
102214120
111282557
128a93a0
135c6a3c
14418c76
152db080
hex21c8e8

2214120 has 32 divisors (see below), whose sum is σ = 6642720. Its totient is φ = 590400.

The previous prime is 2214103. The next prime is 2214137. The reversal of 2214120 is 214122.

2214120 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 (2214103) and next prime (2214137).

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

It is a junction number, because it is equal to n+sod(n) for n = 2214096 and 2214105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9106 + ... + 9345.

It is an arithmetic number, because the mean of its divisors is an integer number (207585).

22214120 is an apocalyptic number.

2214120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214120 is an abundant number, since it is smaller than the sum of its proper divisors (4428600).

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

2214120 is a wasteful number, since it uses less digits than its factorization.

2214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18465 (or 18461 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2214120 is about 1487.9919354620. The cubic root of 2214120 is about 130.3367992630.

Adding to 2214120 its reverse (214122), we get a palindrome (2428242).

The spelling of 2214120 in words is "two million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 18451 36902 55353 73804 92255 110706 147608 184510 221412 276765 369020 442824 553530 738040 1107060 2214120