Search a number
-
+
2191001472 = 273211374673
BaseRepresentation
bin1000001010011000…
…0000011110000000
312122200202101222200
42002212000132000
513441344021342
61001224433200
7105203130252
oct20246003600
95580671880
102191001472
11a24843920
12511918800
1328bc0089a
1416adb7cd2
15cc54094c
hex82980780

2191001472 has 192 divisors, whose sum is σ = 7065405360. Its totient is φ = 645857280.

The previous prime is 2191001441. The next prime is 2191001513. The reversal of 2191001472 is 2741001912.

2191001472 is a `hidden beast` number, since 2 + 191 + 0 + 0 + 1 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466528 + ... + 471200.

Almost surely, 22191001472 is an apocalyptic number.

2191001472 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 2191001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532702680).

2191001472 is an abundant number, since it is smaller than the sum of its proper divisors (4874403888).

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

2191001472 is a wasteful number, since it uses less digits than its factorization.

2191001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2191001472 is about 46808.1346776391. The cubic root of 2191001472 is about 1298.8157799586.

The spelling of 2191001472 in words is "two billion, one hundred ninety-one million, one thousand, four hundred seventy-two".