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2225616 = 243199233
BaseRepresentation
bin1000011111010111010000
311012001222020
420133113100
51032204431
6115411440
724626451
oct10372720
94161866
102225616
111290158
128b3b80
135cc043
1441d128
152de696
hex21f5d0

2225616 has 40 divisors (see below), whose sum is σ = 5803200. Its totient is φ = 734976.

The previous prime is 2225599. The next prime is 2225621. The reversal of 2225616 is 6165222.

2225616 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

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, 9436 + ... + 9668.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

22225616 is an apocalyptic number.

It is an amenable number.

2225616 is an abundant number, since it is smaller than the sum of its proper divisors (3577584).

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

2225616 is a wasteful number, since it uses less digits than its factorization.

2225616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 437 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2225616 is about 1491.8498583973. The cubic root of 2225616 is about 130.5619852039.

The spelling of 2225616 in words is "two million, two hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 199 233 398 466 597 699 796 932 1194 1398 1592 1864 2388 2796 3184 3728 4776 5592 9552 11184 46367 92734 139101 185468 278202 370936 556404 741872 1112808 2225616