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2461228 = 2271161131
BaseRepresentation
bin1001011000111000101100
311122001011121
421120320230
51112224403
6124430324
726630410
oct11307054
94561147
102461228
111431180
129a83a4
13682363
14480d40
153393bd
hex258e2c

2461228 has 48 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 936000.

The previous prime is 2461223. The next prime is 2461229. The reversal of 2461228 is 8221642.

It is a happy number.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2461223) 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, 18723 + ... + 18853.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

22461228 is an apocalyptic number.

2461228 is a gapful number since it is divisible by the number (28) 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 2461228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

2461228 is an abundant number, since it is smaller than the sum of its proper divisors (3038420).

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

2461228 is a wasteful number, since it uses less digits than its factorization.

2461228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 2461228 is about 1568.8301373954. The cubic root of 2461228 is about 135.0155994777.

The spelling of 2461228 in words is "two million, four hundred sixty-one thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 122 131 154 244 262 308 427 524 671 854 917 1342 1441 1708 1834 2684 2882 3668 4697 5764 7991 9394 10087 15982 18788 20174 31964 40348 55937 87901 111874 175802 223748 351604 615307 1230614 2461228