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2292420 = 2235132939
BaseRepresentation
bin1000101111101011000100
311022110121110
420233223010
51041324140
6121045020
725325304
oct10575304
94273543
102292420
111326369
12926770
13623580
14439604
15304380
hex22fac4

2292420 has 48 divisors (see below), whose sum is σ = 6914880. Its totient is φ = 564096.

The previous prime is 2292413. The next prime is 2292427. The reversal of 2292420 is 242922.

2292420 is digitally balanced in base 2, 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 (2292413) and next prime (2292427).

It is not an unprimeable number, because it can be changed into a prime (2292427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690 + ... + 2249.

It is an arithmetic number, because the mean of its divisors is an integer number (144060).

22292420 is an apocalyptic number.

2292420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2292420 is an abundant number, since it is smaller than the sum of its proper divisors (4622460).

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

2292420 is a wasteful number, since it uses less digits than its factorization.

2292420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2292420 is about 1514.0739744147. The cubic root of 2292420 is about 131.8554432190.

The spelling of 2292420 in words is "two million, two hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2939 5878 8817 11756 14695 17634 29390 35268 38207 44085 58780 76414 88170 114621 152828 176340 191035 229242 382070 458484 573105 764140 1146210 2292420