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2288040 = 233523829
BaseRepresentation
bin1000101110100110101000
311022020121020
420232212220
51041204130
6121012440
725306446
oct10564650
94266536
102288040
111323047
12924120
13621591
14437b96
15302e10
hex22e9a8

2288040 has 64 divisors (see below), whose sum is σ = 7171200. Its totient is φ = 582912.

The previous prime is 2288029. The next prime is 2288051. The reversal of 2288040 is 408822.

It is an interprime number because it is at equal distance from previous prime (2288029) and next prime (2288051).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2288040.

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, 2346 + ... + 3174.

It is an arithmetic number, because the mean of its divisors is an integer number (112050).

22288040 is an apocalyptic number.

2288040 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 2288040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585600).

2288040 is an abundant number, since it is smaller than the sum of its proper divisors (4883160).

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

2288040 is a wasteful number, since it uses less digits than its factorization.

2288040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2288040 is about 1512.6268541845. The cubic root of 2288040 is about 131.7714133803.

The spelling of 2288040 in words is "two million, two hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 829 920 1380 1658 2487 2760 3316 4145 4974 6632 8290 9948 12435 16580 19067 19896 24870 33160 38134 49740 57201 76268 95335 99480 114402 152536 190670 228804 286005 381340 457608 572010 762680 1144020 2288040