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2258648 = 23753761
BaseRepresentation
bin1000100111011011011000
311020202021122
420213123120
51034234043
6120224412
725124660
oct10473330
94222248
102258648
111302a57
1290b108
136110a2
1442b1a0
152e9368
hex2276d8

2258648 has 32 divisors (see below), whose sum is σ = 4937760. Its totient is φ = 948480.

The previous prime is 2258639. The next prime is 2258651. The reversal of 2258648 is 8468522.

2258648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2588 + ... + 3348.

It is an arithmetic number, because the mean of its divisors is an integer number (154305).

22258648 is an apocalyptic number.

2258648 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 2258648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468880).

2258648 is an abundant number, since it is smaller than the sum of its proper divisors (2679112).

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

2258648 is a wasteful number, since it uses less digits than its factorization.

2258648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 823 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 2258648 is about 1502.8799020547. The cubic root of 2258648 is about 131.2047378321.

It can be divided in two parts, 22586 and 48, that multiplied together give a triangular number (1084128 = T1472).

The spelling of 2258648 in words is "two million, two hundred fifty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 761 1484 1522 2968 3044 5327 6088 10654 21308 40333 42616 80666 161332 282331 322664 564662 1129324 2258648