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214106424 = 23374672729
BaseRepresentation
bin11001100001100…
…00000100111000
3112220212201210120
430300300010320
5414302401144
633125013240
75206605660
oct1460600470
9486781716
10214106424
11aa948364
125b854220
1335485cbc
14206151a0
1513be3e19
hexcc30138

214106424 has 64 divisors (see below), whose sum is σ = 613267200. Its totient is φ = 61019904.

The previous prime is 214106419. The next prime is 214106441. The reversal of 214106424 is 424601412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 214106394 and 214106403.

It is a congruent number.

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, 77092 + ... + 79820.

It is an arithmetic number, because the mean of its divisors is an integer number (9582300).

Almost surely, 2214106424 is an apocalyptic number.

214106424 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 214106424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).

214106424 is an abundant number, since it is smaller than the sum of its proper divisors (399160776).

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

214106424 is a wasteful number, since it uses less digits than its factorization.

214106424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 214106424 is about 14632.3758836356. The cubic root of 214106424 is about 598.2415402893.

Adding to 214106424 its reverse (424601412), we get a palindrome (638707836).

The spelling of 214106424 in words is "two hundred fourteen million, one hundred six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 467 934 1401 1868 2729 2802 3269 3736 5458 5604 6538 8187 9807 10916 11208 13076 16374 19103 19614 21832 26152 32748 38206 39228 57309 65496 76412 78456 114618 152824 229236 458472 1274443 2548886 3823329 5097772 7646658 8921101 10195544 15293316 17842202 26763303 30586632 35684404 53526606 71368808 107053212 214106424