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2191332 = 22311131277
BaseRepresentation
bin1000010110111111100100
311010022221110
420112333210
51030110312
6114545020
724424503
oct10267744
94108843
102191332
111267420
12898170
135b9560
1441083a
152d443c
hex216fe4

2191332 has 48 divisors (see below), whose sum is σ = 6011712. Its totient is φ = 612480.

The previous prime is 2191331. The next prime is 2191337. The reversal of 2191332 is 2331912.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2191299 and 2191308.

It is not an unprimeable number, because it can be changed into a prime (2191331) 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, 1078 + ... + 2354.

It is an arithmetic number, because the mean of its divisors is an integer number (125244).

22191332 is an apocalyptic number.

2191332 is a gapful number since it is divisible by the number (22) 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 2191332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005856).

2191332 is an abundant number, since it is smaller than the sum of its proper divisors (3820380).

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

2191332 is a wasteful number, since it uses less digits than its factorization.

2191332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1306 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 2191332 is about 1480.3148313788. The cubic root of 2191332 is about 129.8881088510. Note that the first 3 decimals are identical.

It can be divided in two parts, 21913 and 32, that added together give a triangular number (21945 = T209).

The spelling of 2191332 in words is "two million, one hundred ninety-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1277 1716 2554 3831 5108 7662 14047 15324 16601 28094 33202 42141 49803 56188 66404 84282 99606 168564 182611 199212 365222 547833 730444 1095666 2191332