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216438097224 = 23331421691001
BaseRepresentation
bin1100100110010010110…
…1110100010101001000
3202200122221110112201010
43021210231310111020
512021231123102344
6243232535323520
721431352320466
oct3114455642510
9680587415633
10216438097224
1183877732a18
1235b448205a0
1317543a9541b
14a6932d3836
15596b6568b9
hex3264b74548

216438097224 has 64 divisors (see below), whose sum is σ = 559877460480. Its totient is φ = 69652800000.

The previous prime is 216438097223. The next prime is 216438097247. The reversal of 216438097224 is 422790834612.

It is not an unprimeable number, because it can be changed into a prime (216438097223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32277 + ... + 658724.

It is an arithmetic number, because the mean of its divisors is an integer number (8748085320).

Almost surely, 2216438097224 is an apocalyptic number.

216438097224 is a gapful number since it is divisible by the number (24) 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 216438097224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279938730240).

216438097224 is an abundant number, since it is smaller than the sum of its proper divisors (343439363256).

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

216438097224 is a wasteful number, since it uses less digits than its factorization.

216438097224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691462 (or 691458 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 216438097224 in words is "two hundred sixteen billion, four hundred thirty-eight million, ninety-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 421 744 842 1263 1684 2526 3368 5052 10104 13051 26102 39153 52204 78306 104408 156612 313224 691001 1382002 2073003 2764004 4146006 5528008 8292012 16584024 21421031 42842062 64263093 85684124 128526186 171368248 257052372 290911421 514104744 581822842 872734263 1163645684 1745468526 2327291368 3490937052 6981874104 9018254051 18036508102 27054762153 36073016204 54109524306 72146032408 108219048612 216438097224