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2228976 = 243223673
BaseRepresentation
bin1000100000001011110000
311012020120200
420200023300
51032311401
6115435200
724642321
oct10401360
94166520
102228976
111292732
128b5b00
13600729
14420448
152e0686
hex2202f0

2228976 has 60 divisors (see below), whose sum is σ = 6518928. Its totient is φ = 709632.

The previous prime is 2228971. The next prime is 2228981. The reversal of 2228976 is 6798222.

It is an interprime number because it is at equal distance from previous prime (2228971) and next prime (2228981).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 29 + 217 + 221 + 8 + 9 + 7 + 63 .

It is a self number, because there is not a number n which added to its sum of digits gives 2228976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2976 + ... + 3648.

22228976 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 2228976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259464).

2228976 is an abundant number, since it is smaller than the sum of its proper divisors (4289952).

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

2228976 is a wasteful number, since it uses less digits than its factorization.

2228976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 701 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2228976 is about 1492.9755523785. The cubic root of 2228976 is about 130.6276550669.

2228976 divided by its sum of digits (36) gives a palindrome (61916).

The spelling of 2228976 in words is "two million, two hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 673 828 1104 1346 1656 2019 2692 3312 4038 5384 6057 8076 10768 12114 15479 16152 24228 30958 32304 46437 48456 61916 92874 96912 123832 139311 185748 247664 278622 371496 557244 742992 1114488 2228976