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214621056 = 27331317281
BaseRepresentation
bin11001100101011…
…01101110000000
3112221211212202000
430302231232000
5414420333211
633144024000
75214151236
oct1462555600
9487755660
10214621056
11100169a81
125ba62000
1335606310
142070a956
1513c96656
hexccadb80

214621056 has 256 divisors, whose sum is σ = 724852800. Its totient is φ = 61931520.

The previous prime is 214621037. The next prime is 214621063. The reversal of 214621056 is 650126412.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 763636 + ... + 763916.

Almost surely, 2214621056 is an apocalyptic number.

214621056 is a gapful number since it is divisible by the number (26) 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 214621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362426400).

214621056 is an abundant number, since it is smaller than the sum of its proper divisors (510231744).

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

214621056 is a wasteful number, since it uses less digits than its factorization.

214621056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 214621056 is about 14649.9507166407. The cubic root of 214621056 is about 598.7204732920.

Adding to 214621056 its reverse (650126412), we get a palindrome (864747468).

The spelling of 214621056 in words is "two hundred fourteen million, six hundred twenty-one thousand, fifty-six".