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2191392 = 253271087
BaseRepresentation
bin1000010111000000100000
311010100000200
420113000200
51030111032
6114545200
724424620
oct10270040
94110020
102191392
111267475
12898200
135b95a8
14410880
152d447c
hex217020

2191392 has 72 divisors (see below), whose sum is σ = 7128576. Its totient is φ = 625536.

The previous prime is 2191373. The next prime is 2191393. The reversal of 2191392 is 2931912.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2191393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1473 + ... + 2559.

It is an arithmetic number, because the mean of its divisors is an integer number (99008).

22191392 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 2191392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564288).

2191392 is an abundant number, since it is smaller than the sum of its proper divisors (4937184).

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

2191392 is a wasteful number, since it uses less digits than its factorization.

2191392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1099 counting only the distinct ones).

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

The square root of 2191392 is about 1480.3350971993. The cubic root of 2191392 is about 129.8892943119.

The spelling of 2191392 in words is "two million, one hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1087 2016 2174 3261 4348 6522 7609 8696 9783 13044 15218 17392 19566 22827 26088 30436 34784 39132 45654 52176 60872 68481 78264 91308 104352 121744 136962 156528 182616 243488 273924 313056 365232 547848 730464 1095696 2191392