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2266420 = 2251323379
BaseRepresentation
bin1000101001010100110100
311021010221111
420221110310
51040011140
6120324404
725156432
oct10512464
94233844
102266420
111308882
12913704
136147a0
1442dd52
152eb7ea
hex229534

2266420 has 48 divisors (see below), whose sum is σ = 5362560. Its totient is φ = 798336.

The previous prime is 2266403. The next prime is 2266427. The reversal of 2266420 is 246622.

It is a happy number.

It is a d-powerful number, because it can be written as 215 + 217 + 62 + 64 + 46 + 221 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2266391 and 2266400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266427) 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, 5791 + ... + 6169.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

22266420 is an apocalyptic number.

2266420 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 2266420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681280).

2266420 is an abundant number, since it is smaller than the sum of its proper divisors (3096140).

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

2266420 is a wasteful number, since it uses less digits than its factorization.

2266420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2266420 is about 1505.4633838124. The cubic root of 2266420 is about 131.3550572314.

The spelling of 2266420 in words is "two million, two hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 379 460 598 758 1196 1495 1516 1895 2990 3790 4927 5980 7580 8717 9854 17434 19708 24635 34868 43585 49270 87170 98540 113321 174340 226642 453284 566605 1133210 2266420