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214551324 = 2232133591277
BaseRepresentation
bin11001100100111…
…00101100011100
3112221201100002100
430302130230130
5414411120244
633142325100
75213441031
oct1462345434
9487640070
10214551324
11100121649
125ba29790
13355b0660
14206cd388
1513c80b69
hexcc9cb1c

214551324 has 72 divisors (see below), whose sum is σ = 586141920. Its totient is φ = 65780352.

The previous prime is 214551277. The next prime is 214551343. The reversal of 214551324 is 423155412.

214551324 is a `hidden beast` number, since 2 + 145 + 513 + 2 + 4 = 666.

214551324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167374 + ... + 168650.

It is an arithmetic number, because the mean of its divisors is an integer number (8140860).

Almost surely, 2214551324 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 214551324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293070960).

214551324 is an abundant number, since it is smaller than the sum of its proper divisors (371590596).

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

214551324 is a wasteful number, since it uses less digits than its factorization.

214551324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1654 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 214551324 is about 14647.5705835473. The cubic root of 214551324 is about 598.6556233354.

The spelling of 214551324 in words is "two hundred fourteen million, five hundred fifty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 359 468 718 1077 1277 1436 2154 2554 3231 3831 4308 4667 5108 6462 7662 9334 11493 12924 14001 15324 16601 18668 22986 28002 33202 42003 45972 49803 56004 66404 84006 99606 149409 168012 199212 298818 458443 597636 916886 1375329 1833772 2750658 4125987 5501316 5959759 8251974 11919518 16503948 17879277 23839036 35758554 53637831 71517108 107275662 214551324