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2199366 = 233132241
BaseRepresentation
bin1000011000111101000110
311010201222000
420120331012
51030334431
6115050130
724460101
oct10307506
94121860
102199366
111272464
128a0946
135c0100
14413738
152d69e6
hex218f46

2199366 has 48 divisors (see below), whose sum is σ = 5314320. Its totient is φ = 673920.

The previous prime is 2199361. The next prime is 2199371. The reversal of 2199366 is 6639912.

It is an interprime number because it is at equal distance from previous prime (2199361) and next prime (2199371).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2199366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9006 + ... + 9246.

It is an arithmetic number, because the mean of its divisors is an integer number (110715).

22199366 is an apocalyptic number.

2199366 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657160).

2199366 is an abundant number, since it is smaller than the sum of its proper divisors (3114954).

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

2199366 is a wasteful number, since it uses less digits than its factorization.

2199366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 2199366 is about 1483.0259606629. The cubic root of 2199366 is about 130.0466499245.

The spelling of 2199366 in words is "two million, one hundred ninety-nine thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 241 338 351 482 507 702 723 1014 1446 1521 2169 3042 3133 4338 4563 6266 6507 9126 9399 13014 18798 28197 40729 56394 81458 84591 122187 169182 244374 366561 733122 1099683 2199366