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214508808 = 23325367839
BaseRepresentation
bin11001100100100…
…10010100001000
3112221122011202200
430302102110020
5414403240213
633141400200
75213203053
oct1462222410
9487564680
10214508808
111000a2708
125ba09060
13355971b7
14206bba9a
1513c73273
hexcc92508

214508808 has 96 divisors (see below), whose sum is σ = 601473600. Its totient is φ = 69024384.

The previous prime is 214508783. The next prime is 214508813. The reversal of 214508808 is 808805412.

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 23 ways as a sum of consecutive naturals, for example, 255253 + ... + 256091.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2214508808 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 214508808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300736800).

214508808 is an abundant number, since it is smaller than the sum of its proper divisors (386964792).

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

214508808 is a wasteful number, since it uses less digits than its factorization.

214508808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 214508808 is about 14646.1192129519. The cubic root of 214508808 is about 598.6160770497.

The spelling of 214508808 in words is "two hundred fourteen million, five hundred eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 67 72 106 134 159 201 212 268 318 402 424 477 536 603 636 804 839 954 1206 1272 1608 1678 1908 2412 2517 3356 3551 3816 4824 5034 6712 7102 7551 10068 10653 14204 15102 20136 21306 28408 30204 31959 42612 44467 56213 60408 63918 85224 88934 112426 127836 133401 168639 177868 224852 255672 266802 337278 355736 400203 449704 505917 533604 674556 800406 1011834 1067208 1349112 1600812 2023668 2979289 3201624 4047336 5958578 8937867 11917156 17875734 23834312 26813601 35751468 53627202 71502936 107254404 214508808