Search a number
-
+
191897216 = 277613511
BaseRepresentation
bin10110111000000…
…01111010000000
3111101002101111022
423130001322000
5343111202331
631013005012
74520046050
oct1334017200
9441071438
10191897216
1199359245
1254323768
13309ab164
141b6b3560
1511ca867b
hexb701e80

191897216 has 64 divisors (see below), whose sum is σ = 444197760. Its totient is φ = 80870400.

The previous prime is 191897203. The next prime is 191897219. The reversal of 191897216 is 612798191.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (191897219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52901 + ... + 56411.

It is an arithmetic number, because the mean of its divisors is an integer number (6940590).

Almost surely, 2191897216 is an apocalyptic number.

191897216 is a gapful number since it is divisible by the number (16) 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 191897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222098880).

191897216 is an abundant number, since it is smaller than the sum of its proper divisors (252300544).

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

191897216 is an equidigital number, since it uses as much as digits as its factorization.

191897216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3581 counting only the distinct ones).

The product of its digits is 54432, while the sum is 44.

The square root of 191897216 is about 13852.6970659146. The cubic root of 191897216 is about 576.7968651783.

The spelling of 191897216 in words is "one hundred ninety-one million, eight hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 427 448 488 854 896 976 1708 1952 3416 3511 3904 6832 7022 7808 13664 14044 24577 27328 28088 49154 54656 56176 98308 112352 196616 214171 224704 393232 428342 449408 786464 856684 1499197 1572928 1713368 2998394 3145856 3426736 5996788 6853472 11993576 13706944 23987152 27413888 47974304 95948608 191897216