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2291880 = 233571269
BaseRepresentation
bin1000101111100010101000
311022102212110
420233202220
51041320010
6121042320
725323603
oct10574250
94272773
102291880
111325a18
129263a0
13623256
1443933a
15304120
hex22f8a8

2291880 has 64 divisors (see below), whose sum is σ = 6998400. Its totient is φ = 600320.

The previous prime is 2291867. The next prime is 2291893. The reversal of 2291880 is 881922.

It is an interprime number because it is at equal distance from previous prime (2291867) and next prime (2291893).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8386 + ... + 8654.

It is an arithmetic number, because the mean of its divisors is an integer number (109350).

22291880 is an apocalyptic number.

2291880 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 2291880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499200).

2291880 is an abundant number, since it is smaller than the sum of its proper divisors (4706520).

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

2291880 is a wasteful number, since it uses less digits than its factorization.

2291880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2291880 is about 1513.8956370900. The cubic root of 2291880 is about 131.8450891636.

The spelling of 2291880 in words is "two million, two hundred ninety-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 269 284 355 426 538 568 710 807 852 1065 1076 1345 1420 1614 1704 2130 2152 2690 2840 3228 4035 4260 5380 6456 8070 8520 10760 16140 19099 32280 38198 57297 76396 95495 114594 152792 190990 229188 286485 381980 458376 572970 763960 1145940 2291880