Search a number
-
+
2226960 = 243351031
BaseRepresentation
bin1000011111101100010000
311012010211000
420133230100
51032230320
6115422000
724633411
oct10375420
94163730
102226960
11129116a
128b4900
135cc838
1441d808
152dec90
hex21fb10

2226960 has 80 divisors (see below), whose sum is σ = 7678080. Its totient is φ = 593280.

The previous prime is 2226953. The next prime is 2226989. The reversal of 2226960 is 696222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1645 + ... + 2675.

It is an arithmetic number, because the mean of its divisors is an integer number (95976).

22226960 is an apocalyptic number.

2226960 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 2226960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839040).

2226960 is an abundant number, since it is smaller than the sum of its proper divisors (5451120).

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

2226960 is a wasteful number, since it uses less digits than its factorization.

2226960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2226960 is about 1492.3002378878. The cubic root of 2226960 is about 130.5882610751.

The spelling of 2226960 in words is "two million, two hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1031 1080 2062 2160 3093 4124 5155 6186 8248 9279 10310 12372 15465 16496 18558 20620 24744 27837 30930 37116 41240 46395 49488 55674 61860 74232 82480 92790 111348 123720 139185 148464 185580 222696 247440 278370 371160 445392 556740 742320 1113480 2226960