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2244720 = 243547199
BaseRepresentation
bin1000100100000001110000
311020001011210
420210001300
51033312340
6120040120
725036242
oct10440160
94201153
102244720
1112a3545
12903040
1360794a
14426092
152e5180
hex224070

2244720 has 80 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 582912.

The previous prime is 2244719. The next prime is 2244721. The reversal of 2244720 is 274422.

It is an interprime number because it is at equal distance from previous prime (2244719) and next prime (2244721).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11181 + ... + 11379.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

22244720 is an apocalyptic number.

2244720 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 2244720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2244720 is an abundant number, since it is smaller than the sum of its proper divisors (4897680).

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

2244720 is a wasteful number, since it uses less digits than its factorization.

2244720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2244720 is about 1498.2389662534. The cubic root of 2244720 is about 130.9344893200.

The spelling of 2244720 in words is "two million, two hundred forty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 199 235 240 282 376 398 470 564 597 705 752 796 940 995 1128 1194 1410 1592 1880 1990 2256 2388 2820 2985 3184 3760 3980 4776 5640 5970 7960 9353 9552 11280 11940 15920 18706 23880 28059 37412 46765 47760 56118 74824 93530 112236 140295 149648 187060 224472 280590 374120 448944 561180 748240 1122360 2244720