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2191552 = 26112283
BaseRepresentation
bin1000010111000011000000
311010100020121
420113003000
51030112202
6114550024
724425236
oct10270300
94110217
102191552
111267600
12898314
135b969c
14410956
152d4537
hex2170c0

2191552 has 42 divisors (see below), whose sum is σ = 4797044. Its totient is φ = 992640.

The previous prime is 2191549. The next prime is 2191561. The reversal of 2191552 is 2551912.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 7603 + ... + 7885.

22191552 is an apocalyptic number.

2191552 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 2191552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398522).

2191552 is an abundant number, since it is smaller than the sum of its proper divisors (2605492).

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

2191552 is a wasteful number, since it uses less digits than its factorization.

2191552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 296 counting only the distinct ones).

The product of its digits is 900, while the sum is 25.

The square root of 2191552 is about 1480.3891380309. The cubic root of 2191552 is about 129.8924554353.

It can be divided in two parts, 219 and 1552, that added together give a palindrome (1771).

The spelling of 2191552 in words is "two million, one hundred ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 283 352 484 566 704 968 1132 1936 2264 3113 3872 4528 6226 7744 9056 12452 18112 24904 34243 49808 68486 99616 136972 199232 273944 547888 1095776 2191552