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2216040 = 233559313
BaseRepresentation
bin1000011101000001101000
311011120211120
420131001220
51031403130
6115255240
724556521
oct10350150
94146746
102216040
111283a42
128aa520
135c7888
14419848
152db910
hex21d068

2216040 has 64 divisors (see below), whose sum is σ = 6782400. Its totient is φ = 579072.

The previous prime is 2216021. The next prime is 2216047. The reversal of 2216040 is 406122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2216047) 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, 6924 + ... + 7236.

It is an arithmetic number, because the mean of its divisors is an integer number (105975).

22216040 is an apocalyptic number.

2216040 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 2216040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3391200).

2216040 is an abundant number, since it is smaller than the sum of its proper divisors (4566360).

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

2216040 is a wasteful number, since it uses less digits than its factorization.

2216040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2216040 is about 1488.6369604440. The cubic root of 2216040 is about 130.3744627373.

The spelling of 2216040 in words is "two million, two hundred sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 313 354 472 590 626 708 885 939 1180 1252 1416 1565 1770 1878 2360 2504 3130 3540 3756 4695 6260 7080 7512 9390 12520 18467 18780 36934 37560 55401 73868 92335 110802 147736 184670 221604 277005 369340 443208 554010 738680 1108020 2216040