Search a number
-
+
216443944192 = 287653184967
BaseRepresentation
bin1100100110010100010…
…0000111110100000000
3202200200100110121020111
43021211010013310000
512021234122203232
6243233304521104
721431453112160
oct3114504076400
9680610417214
10216443944192
118387aa66923
1235b46780194
1317545061878
14a693db65a0
15596be0e047
hex3265107d00

216443944192 has 72 divisors (see below), whose sum is σ = 494521566336. Its totient is φ = 92619134976.

The previous prime is 216443944183. The next prime is 216443944243. The reversal of 216443944192 is 291449344612.

It is a super-2 number, since 2×2164439441922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1077693 + ... + 1262659.

It is an arithmetic number, because the mean of its divisors is an integer number (6868355088).

Almost surely, 2216443944192 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 216443944192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247260783168).

216443944192 is an abundant number, since it is smaller than the sum of its proper divisors (278077622144).

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

216443944192 is an equidigital number, since it uses as much as digits as its factorization.

216443944192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185643 (or 185629 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 49.

The spelling of 216443944192 in words is "two hundred sixteen billion, four hundred forty-three million, nine hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 653 896 1306 1792 2612 4571 5224 9142 10448 18284 20896 36568 41792 73136 83584 146272 167168 184967 292544 369934 585088 739868 1170176 1294769 1479736 2589538 2959472 5179076 5918944 10358152 11837888 20716304 23675776 41432608 47351552 82865216 120783451 165730432 241566902 331460864 483133804 845484157 966267608 1690968314 1932535216 3381936628 3865070432 6763873256 7730140864 13527746512 15460281728 27055493024 30920563456 54110986048 108221972096 216443944192