Search a number
-
+
2201292 = 2232471301
BaseRepresentation
bin1000011001011011001100
311010211121100
420121123030
51030420132
6115103100
724465522
oct10313314
94124540
102201292
111273955
128a1a90
135c0c52
14414312
152d737c
hex2196cc

2201292 has 36 divisors (see below), whose sum is σ = 5687136. Its totient is φ = 717600.

The previous prime is 2201281. The next prime is 2201293. The reversal of 2201292 is 2921022.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2201293) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1042 + ... + 2342.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

22201292 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 2201292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843568).

2201292 is an abundant number, since it is smaller than the sum of its proper divisors (3485844).

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

2201292 is a wasteful number, since it uses less digits than its factorization.

2201292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2201292 is about 1483.6751666049. The cubic root of 2201292 is about 130.0845997656.

The spelling of 2201292 in words is "two million, two hundred one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1301 1692 2602 3903 5204 7806 11709 15612 23418 46836 61147 122294 183441 244588 366882 550323 733764 1100646 2201292