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2257320 = 2335131447
BaseRepresentation
bin1000100111000110101000
311020200110110
420213012220
51034213240
6120214320
725121052
oct10470650
94220413
102257320
111301a5a
1290a3a0
136105c0
1442a8d2
152e8c80
hex2271a8

2257320 has 64 divisors (see below), whose sum is σ = 7297920. Its totient is φ = 555264.

The previous prime is 2257319. The next prime is 2257361. The reversal of 2257320 is 237522.

2257320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

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, 837 + ... + 2283.

It is an arithmetic number, because the mean of its divisors is an integer number (114030).

22257320 is an apocalyptic number.

2257320 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 2257320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648960).

2257320 is an abundant number, since it is smaller than the sum of its proper divisors (5040600).

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

2257320 is a wasteful number, since it uses less digits than its factorization.

2257320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2257320 is about 1502.4380186883. The cubic root of 2257320 is about 131.1790183084.

The spelling of 2257320 in words is "two million, two hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1447 1560 2894 4341 5788 7235 8682 11576 14470 17364 18811 21705 28940 34728 37622 43410 56433 57880 75244 86820 94055 112866 150488 173640 188110 225732 282165 376220 451464 564330 752440 1128660 2257320