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214229808 = 24321328803
BaseRepresentation
bin11001100010011…
…10001100110000
3112221010000001100
430301032030300
5414320323213
633131404400
75210631462
oct1461161460
9487100040
10214229808
11aaa22031
125b8b3700
13354ca200
1420648132
1513c1a773
hexcc4e330

214229808 has 90 divisors (see below), whose sum is σ = 649286196. Its totient is φ = 65909376.

The previous prime is 214229783. The next prime is 214229837. The reversal of 214229808 is 808922412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19935 + ... + 28737.

Almost surely, 2214229808 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 214229808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324643098).

214229808 is an abundant number, since it is smaller than the sum of its proper divisors (435056388).

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

214229808 is a wasteful number, since it uses less digits than its factorization.

214229808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8843 (or 8821 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 214229808 is about 14636.5914064717. The cubic root of 214229808 is about 598.3564352692.

The spelling of 214229808 in words is "two hundred fourteen million, two hundred twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 8803 12168 17606 24336 26409 35212 52818 70424 79227 105636 114439 140848 158454 211272 228878 316908 343317 422544 457756 633816 686634 915512 1029951 1267632 1373268 1487707 1831024 2059902 2746536 2975414 4119804 4463121 5493072 5950828 8239608 8926242 11901656 13389363 16479216 17852484 23803312 26778726 35704968 53557452 71409936 107114904 214229808