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2279420 = 2251113797
BaseRepresentation
bin1000101100011111111100
311021210202222
420230133330
51040420140
6120504512
725242353
oct10543774
94253688
102279420
111317620
1291b138
1361a690
1443499a
153005b5
hex22c7fc

2279420 has 48 divisors (see below), whose sum is σ = 5630688. Its totient is φ = 764160.

The previous prime is 2279419. The next prime is 2279423. The reversal of 2279420 is 249722.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2279420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2462 + ... + 3258.

It is an arithmetic number, because the mean of its divisors is an integer number (117306).

22279420 is an apocalyptic number.

2279420 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 2279420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815344).

2279420 is an abundant number, since it is smaller than the sum of its proper divisors (3351268).

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

2279420 is a wasteful number, since it uses less digits than its factorization.

2279420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2279420 is about 1509.7748176467. The cubic root of 2279420 is about 131.6057258620.

The spelling of 2279420 in words is "two million, two hundred seventy-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 797 1430 1594 2860 3188 3985 7970 8767 10361 15940 17534 20722 35068 41444 43835 51805 87670 103610 113971 175340 207220 227942 455884 569855 1139710 2279420