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2199132 = 22321337127
BaseRepresentation
bin1000011000111001011100
311010201122100
420120321130
51030333012
6115045100
724456315
oct10307134
94121570
102199132
111272271
128a0790
135bcc80
1441360c
152d68dc
hex218e5c

2199132 has 72 divisors (see below), whose sum is σ = 6196736. Its totient is φ = 653184.

The previous prime is 2199121. The next prime is 2199133. The reversal of 2199132 is 2319912.

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

It is a junction number, because it is equal to n+sod(n) for n = 2199096 and 2199105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2199133) 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, 17253 + ... + 17379.

22199132 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 2199132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098368).

2199132 is an abundant number, since it is smaller than the sum of its proper divisors (3997604).

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

2199132 is a wasteful number, since it uses less digits than its factorization.

2199132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 182 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 2199132 is about 1482.9470658119. The cubic root of 2199132 is about 130.0420376870.

The spelling of 2199132 in words is "two million, one hundred ninety-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 127 148 156 222 234 254 333 381 444 468 481 508 666 762 962 1143 1332 1443 1524 1651 1924 2286 2886 3302 4329 4572 4699 4953 5772 6604 8658 9398 9906 14097 14859 17316 18796 19812 28194 29718 42291 56388 59436 61087 84582 122174 169164 183261 244348 366522 549783 733044 1099566 2199132