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2270440 = 235311831
BaseRepresentation
bin1000101010010011101000
311021100110101
420222103220
51040123230
6120355144
725204234
oct10522350
94240411
102270440
1113108a7
12915ab4
13616573
144315c4
152ecaca
hex22a4e8

2270440 has 32 divisors (see below), whose sum is σ = 5276160. Its totient is φ = 878400.

The previous prime is 2270423. The next prime is 2270441. The reversal of 2270440 is 440722.

It is not an unprimeable number, because it can be changed into a prime (2270441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325 + ... + 2155.

It is an arithmetic number, because the mean of its divisors is an integer number (164880).

22270440 is an apocalyptic number.

2270440 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 2270440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638080).

2270440 is an abundant number, since it is smaller than the sum of its proper divisors (3005720).

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

2270440 is a wasteful number, since it uses less digits than its factorization.

2270440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 2270440 is about 1506.7979293854. The cubic root of 2270440 is about 131.4326738300.

It can be divided in two parts, 22 and 70440, that multiplied together give a triangular number (1549680 = T1760).

The spelling of 2270440 in words is "two million, two hundred seventy thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1831 3662 7324 9155 14648 18310 36620 56761 73240 113522 227044 283805 454088 567610 1135220 2270440