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2225392 = 24132823
BaseRepresentation
bin1000011111010011110000
311012001122221
420133103300
51032203032
6115410424
724626011
oct10372360
94161587
102225392
11128aa74
128b3a14
135cbc00
1441d008
152de597
hex21f4f0

2225392 has 30 divisors (see below), whose sum is σ = 4674552. Its totient is φ = 1025856.

The previous prime is 2225389. The next prime is 2225393. The reversal of 2225392 is 2935222.

2225392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225393) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2293 + ... + 3115.

22225392 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 2225392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337276).

2225392 is an abundant number, since it is smaller than the sum of its proper divisors (2449160).

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

2225392 is a wasteful number, since it uses less digits than its factorization.

2225392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 838 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 2225392 is about 1491.7747819292. The cubic root of 2225392 is about 130.5576048636.

It can be divided in two parts, 22253 and 92, that multiplied together give a triangular number (2047276 = T2023).

The spelling of 2225392 in words is "two million, two hundred twenty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 823 1352 1646 2704 3292 6584 10699 13168 21398 42796 85592 139087 171184 278174 556348 1112696 2225392