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214802704 = 24231633581
BaseRepresentation
bin11001100110110…
…10000100010000
3112222012002220201
430303122010100
5414442141304
633151544544
75215535644
oct1463320420
9488162821
10214802704
111002834a6
125bb2b154
133566abbc
1420756c24
1513cd03a4
hexccda110

214802704 has 40 divisors (see below), whose sum is σ = 437061312. Its totient is φ = 102072960.

The previous prime is 214802699. The next prime is 214802713. The reversal of 214802704 is 407208412.

It is a super-2 number, since 2×2148027042 = 92280403291423232, which contains 22 as substring.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58194 + ... + 61774.

Almost surely, 2214802704 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 214802704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218530656).

214802704 is an abundant number, since it is smaller than the sum of its proper divisors (222258608).

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

214802704 is a wasteful number, since it uses less digits than its factorization.

214802704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 214802704 is about 14656.1490167097. The cubic root of 214802704 is about 598.8893379107.

The spelling of 214802704 in words is "two hundred fourteen million, eight hundred two thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 46 92 163 184 326 368 652 1304 2608 3581 3749 7162 7498 14324 14996 28648 29992 57296 59984 82363 164726 329452 583703 658904 1167406 1317808 2334812 4669624 9339248 13425169 26850338 53700676 107401352 214802704