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2257740 = 2233537113
BaseRepresentation
bin1000100111001101001100
311020201001000
420213031030
51034221430
6120220300
725122222
oct10471514
94221030
102257740
111302301
1290a690
13610854
1442ab12
152e8e60
hex22734c

2257740 has 96 divisors (see below), whose sum is σ = 7277760. Its totient is φ = 580608.

The previous prime is 2257733. The next prime is 2257757. The reversal of 2257740 is 477522.

2257740 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19924 + ... + 20036.

It is an arithmetic number, because the mean of its divisors is an integer number (75810).

22257740 is an apocalyptic number.

2257740 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 2257740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638880).

2257740 is an abundant number, since it is smaller than the sum of its proper divisors (5020020).

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

2257740 is a wasteful number, since it uses less digits than its factorization.

2257740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2257740 is about 1502.5777850082. The cubic root of 2257740 is about 131.1871535855.

The spelling of 2257740 in words is "two million, two hundred fifty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 113 135 148 180 185 222 226 270 333 339 370 444 452 540 555 565 666 678 740 999 1017 1110 1130 1332 1356 1665 1695 1998 2034 2220 2260 3051 3330 3390 3996 4068 4181 4995 5085 6102 6660 6780 8362 9990 10170 12204 12543 15255 16724 19980 20340 20905 25086 30510 37629 41810 50172 61020 62715 75258 83620 112887 125430 150516 188145 225774 250860 376290 451548 564435 752580 1128870 2257740