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2199924 = 2232531153
BaseRepresentation
bin1000011001000101110100
311010202201200
420121011310
51030344144
6115052500
724461526
oct10310564
94122650
102199924
111272921
128a1130
135c043c
14413a16
152d6c69
hex219174

2199924 has 36 divisors (see below), whose sum is σ = 5670756. Its totient is φ = 718848.

The previous prime is 2199917. The next prime is 2199931. The reversal of 2199924 is 4299912.

It is an interprime number because it is at equal distance from previous prime (2199917) and next prime (2199931).

It can be written as a sum of positive squares in 2 ways, for example, as 1664100 + 535824 = 1290^2 + 732^2 .

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 (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1332 + ... + 2484.

It is an arithmetic number, because the mean of its divisors is an integer number (157521).

22199924 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 2199924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835378).

2199924 is an abundant number, since it is smaller than the sum of its proper divisors (3470832).

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

2199924 is a wasteful number, since it uses less digits than its factorization.

2199924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1211 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 2199924 is about 1483.2140776031. The cubic root of 2199924 is about 130.0576470171.

The spelling of 2199924 in words is "two million, one hundred ninety-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1153 1908 2306 3459 4612 6918 10377 13836 20754 41508 61109 122218 183327 244436 366654 549981 733308 1099962 2199924