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214753056 = 25373131021
BaseRepresentation
bin11001100110011…
…01111100100000
3112222002120210220
430303031330200
5414434044211
633150523040
75215241130
oct1463157440
9488076726
10214753056
1110024a171
125bb06480
133565141b
1420742ac0
1513cc0806
hexcccdf20

214753056 has 96 divisors (see below), whose sum is σ = 646950528. Its totient is φ = 61102080.

The previous prime is 214753013. The next prime is 214753073. The reversal of 214753056 is 650357412.

214753056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2147530562 = 92237750122678272, which contains 22 as substring.

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, 209826 + ... + 210846.

It is an arithmetic number, because the mean of its divisors is an integer number (6739068).

Almost surely, 2214753056 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 214753056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323475264).

214753056 is an abundant number, since it is smaller than the sum of its proper divisors (432197472).

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

214753056 is a wasteful number, since it uses less digits than its factorization.

214753056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 214753056 is about 14654.4551587563. The cubic root of 214753056 is about 598.8431933194.

It can be divided in two parts, 21475 and 3056, that added together give a triangular number (24531 = T221).

The spelling of 214753056 in words is "two hundred fourteen million, seven hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 313 336 626 672 939 1021 1252 1878 2042 2191 2504 3063 3756 4084 4382 5008 6126 6573 7147 7512 8168 8764 10016 12252 13146 14294 15024 16336 17528 21441 24504 26292 28588 30048 32672 35056 42882 49008 52584 57176 70112 85764 98016 105168 114352 171528 210336 228704 319573 343056 639146 686112 958719 1278292 1917438 2237011 2556584 3834876 4474022 5113168 6711033 7669752 8948044 10226336 13422066 15339504 17896088 26844132 30679008 35792176 53688264 71584352 107376528 214753056