Search a number
-
+
2457228 = 2232329307
BaseRepresentation
bin1001010111111010001100
311121211200110
421113322030
51112112403
6124400020
726612634
oct11277214
94554613
102457228
111429174
129a6010
136805a7
1447d6c4
15338103
hex257e8c

2457228 has 48 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 753984.

The previous prime is 2457227. The next prime is 2457241. The reversal of 2457228 is 8227542.

It is a junction number, because it is equal to n+sod(n) for n = 2457195 and 2457204.

It is not an unprimeable number, because it can be changed into a prime (2457227) 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, 7851 + ... + 8157.

It is an arithmetic number, because the mean of its divisors is an integer number (129360).

22457228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2457228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2457228 is an abundant number, since it is smaller than the sum of its proper divisors (3752052).

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

2457228 is a wasteful number, since it uses less digits than its factorization.

2457228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 2457228 is about 1567.5547837317. The cubic root of 2457228 is about 134.9424171431.

The spelling of 2457228 in words is "two million, four hundred fifty-seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 307 348 614 667 921 1228 1334 1842 2001 2668 3684 4002 7061 8004 8903 14122 17806 21183 26709 28244 35612 42366 53418 84732 106836 204769 409538 614307 819076 1228614 2457228