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2264420 = 2251959101
BaseRepresentation
bin1000101000110101100100
311021001012102
420220311210
51034430140
6120311232
725150544
oct10506544
94231172
102264420
111307324
12912518
136138c2
1442d324
152eae15
hex228d64

2264420 has 48 divisors (see below), whose sum is σ = 5140800. Its totient is φ = 835200.

The previous prime is 2264393. The next prime is 2264429. The reversal of 2264420 is 244622.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2264392 and 2264401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264429) 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, 22370 + ... + 22470.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

22264420 is an apocalyptic number.

2264420 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 2264420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400).

2264420 is an abundant number, since it is smaller than the sum of its proper divisors (2876380).

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

2264420 is a wasteful number, since it uses less digits than its factorization.

2264420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2264420 is about 1504.7989898987. The cubic root of 2264420 is about 131.3164078154.

The spelling of 2264420 in words is "two million, two hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 101 118 190 202 236 295 380 404 505 590 1010 1121 1180 1919 2020 2242 3838 4484 5605 5959 7676 9595 11210 11918 19190 22420 23836 29795 38380 59590 113221 119180 226442 452884 566105 1132210 2264420