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2201316 = 22313103137
BaseRepresentation
bin1000011001011011100100
311010211122020
420121123210
51030420231
6115103140
724465555
oct10313344
94124566
102201316
111273977
128a1ab0
135c0c70
1441432c
152d7396
hex2196e4

2201316 has 48 divisors (see below), whose sum is σ = 5625984. Its totient is φ = 665856.

The previous prime is 2201293. The next prime is 2201317. The reversal of 2201316 is 6131022.

It is a junction number, because it is equal to n+sod(n) for n = 2201295 and 2201304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16000 + ... + 16136.

It is an arithmetic number, because the mean of its divisors is an integer number (117208).

22201316 is an apocalyptic number.

2201316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812992).

2201316 is an abundant number, since it is smaller than the sum of its proper divisors (3424668).

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

2201316 is a wasteful number, since it uses less digits than its factorization.

2201316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2201316 is about 1483.6832546066. The cubic root of 2201316 is about 130.0850725212.

Adding to 2201316 its reverse (6131022), we get a palindrome (8332338).

The spelling of 2201316 in words is "two million, two hundred one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 103 137 156 206 274 309 411 412 548 618 822 1236 1339 1644 1781 2678 3562 4017 5343 5356 7124 8034 10686 14111 16068 21372 28222 42333 56444 84666 169332 183443 366886 550329 733772 1100658 2201316