Search a number
-
+
214811136 = 293341379
BaseRepresentation
bin11001100110111…
…00001000000000
3112222012112111000
430303130020000
5414442424021
633152052000
75215602351
oct1463341000
9488175430
10214811136
11100289871
125bb34000
13356719a7
1420759d28
1513cd2b26
hexccdc200

214811136 has 160 divisors (see below), whose sum is σ = 653083200. Its totient is φ = 69672960.

The previous prime is 214811111. The next prime is 214811141. The reversal of 214811136 is 631118412.

It is a happy number.

It is a super-2 number, since 2×2148111362 = 92287648299220992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566595 + ... + 566973.

It is an arithmetic number, because the mean of its divisors is an integer number (4081770).

Almost surely, 2214811136 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 214811136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326541600).

214811136 is an abundant number, since it is smaller than the sum of its proper divisors (438272064).

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

214811136 is an equidigital number, since it uses as much as digits as its factorization.

214811136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 425 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 214811136 is about 14656.4366747174. The cubic root of 214811136 is about 598.8971742007.

Adding to 214811136 its reverse (631118412), we get a palindrome (845929548).

The spelling of 214811136 in words is "two hundred fourteen million, eight hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 379 384 432 492 512 576 656 738 758 768 864 984 1107 1137 1152 1312 1476 1516 1536 1728 1968 2214 2274 2304 2624 2952 3032 3411 3456 3936 4428 4548 4608 5248 5904 6064 6822 6912 7872 8856 9096 10233 10496 11808 12128 13644 13824 15539 15744 17712 18192 20466 20992 23616 24256 27288 31078 31488 35424 36384 40932 46617 47232 48512 54576 62156 62976 70848 72768 81864 93234 94464 97024 109152 124312 139851 141696 145536 163728 186468 188928 194048 218304 248624 279702 283392 291072 327456 372936 419553 436608 497248 559404 566784 582144 654912 745872 839106 873216 994496 1118808 1309824 1491744 1678212 1746432 1988992 2237616 2619648 2983488 3356424 3977984 4475232 5239296 5966976 6712848 7955968 8950464 11933952 13425696 17900928 23867904 26851392 35801856 53702784 71603712 107405568 214811136