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2228072 = 237113617
BaseRepresentation
bin1000011111111101101000
311012012100012
420133331220
51032244242
6115431052
724636560
oct10377550
94165305
102228072
111291a90
128b5488
136001b2
1441dda0
152e0282
hex21ff68

2228072 has 32 divisors (see below), whose sum is σ = 5209920. Its totient is φ = 867840.

The previous prime is 2228053. The next prime is 2228077. The reversal of 2228072 is 2708222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1193 + ... + 2424.

It is an arithmetic number, because the mean of its divisors is an integer number (162810).

22228072 is an apocalyptic number.

2228072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2228072 is an abundant number, since it is smaller than the sum of its proper divisors (2981848).

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

2228072 is a wasteful number, since it uses less digits than its factorization.

2228072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2228072 is about 1492.6727705696. The cubic root of 2228072 is about 130.6099932395.

The spelling of 2228072 in words is "two million, two hundred twenty-eight thousand, seventy-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 3617 7234 14468 25319 28936 39787 50638 79574 101276 159148 202552 278509 318296 557018 1114036 2228072