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214607808 = 26322291627
BaseRepresentation
bin11001100101010…
…10011111000000
3112221211012120100
430302222133000
5414414422213
633143442400
75214064512
oct1462523700
9487735510
10214607808
11100160028
125ba56400
133560028c
1420705bb2
1513c92773
hexccaa7c0

214607808 has 84 divisors (see below), whose sum is σ = 618200440. Its totient is φ = 71179776.

The previous prime is 214607803. The next prime is 214607851. The reversal of 214607808 is 808706412.

It is a super-2 number, since 2×2146078082 = 92113022509129728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214607803) 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 11 ways as a sum of consecutive naturals, for example, 131091 + ... + 132717.

Almost surely, 2214607808 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 214607808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309100220).

214607808 is an abundant number, since it is smaller than the sum of its proper divisors (403592632).

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

214607808 is a wasteful number, since it uses less digits than its factorization.

214607808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 214607808 is about 14649.4985579712. The cubic root of 214607808 is about 598.7081538856.

The spelling of 214607808 in words is "two hundred fourteen million, six hundred seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 229 288 458 576 687 916 1374 1627 1832 2061 2748 3254 3664 4122 4881 5496 6508 7328 8244 9762 10992 13016 14643 14656 16488 19524 21984 26032 29286 32976 39048 43968 52064 58572 65952 78096 104128 117144 131904 156192 234288 312384 372583 468576 745166 937152 1117749 1490332 2235498 2980664 3353247 4470996 5961328 6706494 8941992 11922656 13412988 17883984 23845312 26825976 35767968 53651952 71535936 107303904 214607808