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2274080 = 25561233
BaseRepresentation
bin1000101011001100100000
311021112110012
420223030200
51040232310
6120424052
725220654
oct10531440
94245405
102274080
111313606
12918028
13618113
14432a64
152edc05
hex22b320

2274080 has 48 divisors (see below), whose sum is σ = 5484024. Its totient is φ = 890880.

The previous prime is 2274049. The next prime is 2274089. The reversal of 2274080 is 804722.

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 1449616 = 908^2 + 1204^2 .

It is not an unprimeable number, because it can be changed into a prime (2274089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9644 + ... + 9876.

22274080 is an apocalyptic number.

2274080 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 2274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742012).

2274080 is an abundant number, since it is smaller than the sum of its proper divisors (3209944).

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

2274080 is a wasteful number, since it uses less digits than its factorization.

2274080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2274080 is about 1508.0053050305. The cubic root of 2274080 is about 131.5028745390.

The spelling of 2274080 in words is "two million, two hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 233 244 305 466 488 610 932 976 1165 1220 1864 1952 2330 2440 3728 4660 4880 7456 9320 9760 14213 18640 28426 37280 56852 71065 113704 142130 227408 284260 454816 568520 1137040 2274080