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2244960 = 253251559
BaseRepresentation
bin1000100100000101100000
311020001111200
420210011200
51033314320
6120041200
725040034
oct10440540
94201450
102244960
1112a3743
12903200
13607aa3
144261c4
152e5290
hex224160

2244960 has 72 divisors (see below), whose sum is σ = 7665840. Its totient is φ = 598272.

The previous prime is 2244953. The next prime is 2244973. The reversal of 2244960 is 694422.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661 + ... + 2219.

It is an arithmetic number, because the mean of its divisors is an integer number (106470).

22244960 is an apocalyptic number.

2244960 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 2244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832920).

2244960 is an abundant number, since it is smaller than the sum of its proper divisors (5420880).

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

2244960 is a wasteful number, since it uses less digits than its factorization.

2244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2244960 is about 1498.3190581448. The cubic root of 2244960 is about 130.9391555527.

It can be divided in two parts, 224 and 4960, that added together give a square (5184 = 722).

The spelling of 2244960 in words is "two million, two hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1559 3118 4677 6236 7795 9354 12472 14031 15590 18708 23385 24944 28062 31180 37416 46770 49888 56124 62360 70155 74832 93540 112248 124720 140310 149664 187080 224496 249440 280620 374160 448992 561240 748320 1122480 2244960