Search a number
-
+
214197696 = 26364591
BaseRepresentation
bin11001100010001…
…10010111000000
3112221001101000000
430301012113000
5414313311241
633131000000
75210436036
oct1461062700
9487041000
10214197696
11aa9aa999
125b899000
13354b86cb
142063a556
1513c10eb6
hexcc465c0

214197696 has 98 divisors (see below), whose sum is σ = 637420112. Its totient is φ = 71383680.

The previous prime is 214197691. The next prime is 214197721. The reversal of 214197696 is 696791412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214197691) 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 13 ways as a sum of consecutive naturals, for example, 44361 + ... + 48951.

Almost surely, 2214197696 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 214197696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318710056).

214197696 is an abundant number, since it is smaller than the sum of its proper divisors (423222416).

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

214197696 is an frugal number, since it uses more digits than its factorization.

214197696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4596 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 214197696 is about 14635.4943886430. The cubic root of 214197696 is about 598.3265368746.

The spelling of 214197696 in words is "two hundred fourteen million, one hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 4591 5184 5832 7776 9182 11664 13773 15552 18364 23328 27546 36728 41319 46656 55092 73456 82638 110184 123957 146912 165276 220368 247914 293824 330552 371871 440736 495828 661104 743742 881472 991656 1115613 1322208 1487484 1983312 2231226 2644416 2974968 3346839 3966624 4462452 5949936 6693678 7933248 8924904 11899872 13387356 17849808 23799744 26774712 35699616 53549424 71399232 107098848 214197696