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2196132 = 2232373109
BaseRepresentation
bin1000011000001010100100
311010120112020
420120022210
51030234012
6115023140
724444501
oct10301244
94116466
102196132
11126aa94
1289aab0
135bb7b3
144124a8
152d5a8c
hex2182a4

2196132 has 48 divisors (see below), whose sum is σ = 5470080. Its totient is φ = 684288.

The previous prime is 2196127. The next prime is 2196137. The reversal of 2196132 is 2316912.

It is an interprime number because it is at equal distance from previous prime (2196127) and next prime (2196137).

It is a super-2 number, since 2×21961322 = 9645991522848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2196137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20094 + ... + 20202.

It is an arithmetic number, because the mean of its divisors is an integer number (113960).

22196132 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 2196132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735040).

2196132 is an abundant number, since it is smaller than the sum of its proper divisors (3273948).

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

2196132 is a wasteful number, since it uses less digits than its factorization.

2196132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 210 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 2196132 is about 1481.9352212563. The cubic root of 2196132 is about 129.9828774293.

The spelling of 2196132 in words is "two million, one hundred ninety-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 73 92 109 138 146 218 219 276 292 327 436 438 654 876 1308 1679 2507 3358 5014 5037 6716 7521 7957 10028 10074 15042 15914 20148 23871 30084 31828 47742 95484 183011 366022 549033 732044 1098066 2196132