Search a number
-
+
214334424 = 23342373197
BaseRepresentation
bin11001100011001…
…11101111011000
3112221022022120000
430301213233120
5414332200144
633133533000
75211545463
oct1461475730
9487268500
10214334424
11aaa93697
125b944160
1335535a05
14206742da
1513c3b769
hexcc67bd8

214334424 has 160 divisors (see below), whose sum is σ = 638241120. Its totient is φ = 67060224.

The previous prime is 214334411. The next prime is 214334437. The reversal of 214334424 is 424433412.

It is a happy number.

214334424 is a `hidden beast` number, since 214 + 3 + 3 + 442 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (214334411) and next prime (214334437).

It is a super-2 number, since 2×2143344242 = 91878490622823552, 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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1087894 + ... + 1088090.

It is an arithmetic number, because the mean of its divisors is an integer number (3989007).

Almost surely, 2214334424 is an apocalyptic number.

214334424 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 214334424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319120560).

214334424 is an abundant number, since it is smaller than the sum of its proper divisors (423906696).

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

214334424 is a wasteful number, since it uses less digits than its factorization.

214334424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 298 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 214334424 is about 14640.1647531713. The cubic root of 214334424 is about 598.4538189629.

Adding to 214334424 its reverse (424433412), we get a palindrome (638767836).

The spelling of 214334424 in words is "two hundred fourteen million, three hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 73 81 92 108 138 146 162 184 197 207 216 219 276 292 324 394 414 438 552 584 591 621 648 657 788 828 876 1182 1242 1314 1576 1656 1679 1752 1773 1863 1971 2364 2484 2628 3358 3546 3726 3942 4531 4728 4968 5037 5256 5319 5913 6716 7092 7452 7884 9062 10074 10638 11826 13432 13593 14184 14381 14904 15111 15768 15957 18124 20148 21276 23652 27186 28762 30222 31914 36248 40296 40779 42552 43143 45333 47304 54372 57524 60444 63828 81558 86286 90666 108744 115048 120888 122337 127656 129429 135999 163116 172572 181332 244674 258858 271998 326232 330763 345144 362664 367011 388287 489348 517716 543996 661526 734022 776574 978696 992289 1035432 1087992 1164861 1323052 1468044 1553148 1984578 2329722 2646104 2936088 2976867 3106296 3969156 4659444 5953734 7938312 8930601 9318888 11907468 17861202 23814936 26791803 35722404 53583606 71444808 107167212 214334424