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2220840 = 2332531199
BaseRepresentation
bin1000011110001100101000
311011211102100
420132030220
51032031330
6115333400
724606516
oct10361450
94154370
102220840
111287606
128b1260
135c9b0b
1441b4b6
152dd060
hex21e328

2220840 has 96 divisors (see below), whose sum is σ = 7488000. Its totient is φ = 570240.

The previous prime is 2220839. The next prime is 2220887. The reversal of 2220840 is 480222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11061 + ... + 11259.

It is an arithmetic number, because the mean of its divisors is an integer number (78000).

22220840 is an apocalyptic number.

2220840 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 2220840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744000).

2220840 is an abundant number, since it is smaller than the sum of its proper divisors (5267160).

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

2220840 is a wasteful number, since it uses less digits than its factorization.

2220840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2220840 is about 1490.2483014585. The cubic root of 2220840 is about 130.4685263421.

The spelling of 2220840 in words is "two million, two hundred twenty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 199 248 279 310 360 372 398 465 558 597 620 744 796 930 995 1116 1194 1240 1395 1592 1791 1860 1990 2232 2388 2790 2985 3582 3720 3980 4776 5580 5970 6169 7164 7960 8955 11160 11940 12338 14328 17910 18507 23880 24676 30845 35820 37014 49352 55521 61690 71640 74028 92535 111042 123380 148056 185070 222084 246760 277605 370140 444168 555210 740280 1110420 2220840