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2257940 = 2251729229
BaseRepresentation
bin1000100111010000010100
311020201022102
420213100110
51034223230
6120221232
725122626
oct10472024
94221272
102257940
111302473
1290a818
13610979
1442ac16
152e9045
hex227414

2257940 has 48 divisors (see below), whose sum is σ = 5216400. Its totient is φ = 817152.

The previous prime is 2257939. The next prime is 2257943. The reversal of 2257940 is 497522.

It can be written as a sum of positive squares in 8 ways, for example, as 264196 + 1993744 = 514^2 + 1412^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257943) 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, 9746 + ... + 9974.

It is an arithmetic number, because the mean of its divisors is an integer number (108675).

22257940 is an apocalyptic number.

2257940 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 2257940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608200).

2257940 is an abundant number, since it is smaller than the sum of its proper divisors (2958460).

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

2257940 is a wasteful number, since it uses less digits than its factorization.

2257940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2257940 is about 1502.6443358293. The cubic root of 2257940 is about 131.1910271724.

The spelling of 2257940 in words is "two million, two hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 229 290 340 458 493 580 916 986 1145 1972 2290 2465 3893 4580 4930 6641 7786 9860 13282 15572 19465 26564 33205 38930 66410 77860 112897 132820 225794 451588 564485 1128970 2257940