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214124152 = 231161113353
BaseRepresentation
bin11001100001101…
…00011001111000
3112220220122010011
430300310121320
5414303433102
633125231304
75210011444
oct1460643170
9486818104
10214124152
11aa95a710
125b862534
13354910a8
142061b824
1513be92d7
hexcc34678

214124152 has 64 divisors (see below), whose sum is σ = 450372960. Its totient is φ = 94617600.

The previous prime is 214124149. The next prime is 214124153. The reversal of 214124152 is 251421412.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214124153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 606408 + ... + 606760.

Almost surely, 2214124152 is an apocalyptic number.

214124152 is a gapful number since it is divisible by the number (22) 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 214124152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225186480).

214124152 is an abundant number, since it is smaller than the sum of its proper divisors (236248808).

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

214124152 is a wasteful number, since it uses less digits than its factorization.

214124152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 214124152 is about 14632.9816510512. The cubic root of 214124152 is about 598.2580512891.

Adding to 214124152 its reverse (251421412), we get a palindrome (465545564).

The spelling of 214124152 in words is "two hundred fourteen million, one hundred twenty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 61 88 113 122 226 244 353 452 488 671 706 904 1243 1342 1412 2486 2684 2824 3883 4972 5368 6893 7766 9944 13786 15532 21533 27572 31064 39889 43066 55144 75823 79778 86132 151646 159556 172264 236863 303292 319112 438779 473726 606584 877558 947452 1755116 1894904 2433229 3510232 4866458 9732916 19465832 26765519 53531038 107062076 214124152