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214999800 = 23352536761
BaseRepresentation
bin11001101000010…
…10001011111000
3112222120010021120
430310022023320
5420014443200
633200105240
75220316401
oct1464121370
9488503246
10214999800
111003a8594
1260005220
1335709822
14207a89a8
1513d1d9a0
hexcd0a2f8

214999800 has 96 divisors (see below), whose sum is σ = 679175280. Its totient is φ = 56243200.

The previous prime is 214999793. The next prime is 214999847. The reversal of 214999800 is 8999412.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28420 + ... + 35180.

Almost surely, 2214999800 is an apocalyptic number.

214999800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214999800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339587640).

214999800 is an abundant number, since it is smaller than the sum of its proper divisors (464175480).

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

214999800 is a wasteful number, since it uses less digits than its factorization.

214999800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6833 (or 6824 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 214999800 is about 14662.8714786702. The cubic root of 214999800 is about 599.0724557305.

The spelling of 214999800 in words is "two hundred fourteen million, nine hundred ninety-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 150 159 200 212 265 300 318 424 530 600 636 795 1060 1272 1325 1590 2120 2650 3180 3975 5300 6360 6761 7950 10600 13522 15900 20283 27044 31800 33805 40566 54088 67610 81132 101415 135220 162264 169025 202830 270440 338050 358333 405660 507075 676100 716666 811320 1014150 1074999 1352200 1433332 1791665 2028300 2149998 2866664 3583330 4056600 4299996 5374995 7166660 8599992 8958325 10749990 14333320 17916650 21499980 26874975 35833300 42999960 53749950 71666600 107499900 214999800