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2134220 = 2251189109
BaseRepresentation
bin1000001001000011001100
311000102121012
420021003030
51021243340
6113424352
724066134
oct10110314
94012535
102134220
111228520
1286b0b8
1359956a
143d7ac4
152c2565
hex2090cc

2134220 has 48 divisors (see below), whose sum is σ = 4989600. Its totient is φ = 760320.

The previous prime is 2134201. The next prime is 2134241. The reversal of 2134220 is 224312.

2134220 = 5132 + 5142 + ... + 5202.

2134220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 211 + 1 + 37 + 43 + 215 + 221 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2134195 and 2134204.

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 15 ways as a sum of consecutive naturals, for example, 19526 + ... + 19634.

It is an arithmetic number, because the mean of its divisors is an integer number (103950).

22134220 is an apocalyptic number.

2134220 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 2134220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494800).

2134220 is an abundant number, since it is smaller than the sum of its proper divisors (2855380).

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

2134220 is a wasteful number, since it uses less digits than its factorization.

2134220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2134220 is about 1460.8969847323. The cubic root of 2134220 is about 128.7497502116.

Adding to 2134220 its reverse (224312), we get a palindrome (2358532).

The spelling of 2134220 in words is "two million, one hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 109 110 178 218 220 356 436 445 545 890 979 1090 1199 1780 1958 2180 2398 3916 4796 4895 5995 9701 9790 11990 19402 19580 23980 38804 48505 97010 106711 194020 213422 426844 533555 1067110 2134220