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2242608 = 243192459
BaseRepresentation
bin1000100011100000110000
311012221021120
420203200300
51033230413
6120022240
725030134
oct10434060
94187246
102242608
1112a19a5
12901980
136069b4
144253c4
152e4723
hex223830

2242608 has 40 divisors (see below), whose sum is σ = 6100800. Its totient is φ = 707904.

The previous prime is 2242549. The next prime is 2242651. The reversal of 2242608 is 8062422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 318 + ... + 2141.

It is an arithmetic number, because the mean of its divisors is an integer number (152520).

22242608 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 2242608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050400).

2242608 is an abundant number, since it is smaller than the sum of its proper divisors (3858192).

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

2242608 is a wasteful number, since it uses less digits than its factorization.

2242608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2242608 is about 1497.5339729035. The cubic root of 2242608 is about 130.8934121234.

It can be divided in two parts, 2242 and 608, that added together give a triangular number (2850 = T75).

The spelling of 2242608 in words is "two million, two hundred forty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2459 4918 7377 9836 14754 19672 29508 39344 46721 59016 93442 118032 140163 186884 280326 373768 560652 747536 1121304 2242608