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214999000 = 23531712647
BaseRepresentation
bin11001101000010…
…01111111011000
3112222120002011221
430310021333120
5420014432000
633200101424
75220314146
oct1464117730
9488502157
10214999000
111003a7a27
1260004874
1335709358
14207a8596
1513d1d61a
hexcd09fd8

214999000 has 64 divisors (see below), whose sum is σ = 532733760. Its totient is φ = 80934400.

The previous prime is 214998961. The next prime is 214999019. The reversal of 214999000 is 999412.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10677 + ... + 23323.

It is an arithmetic number, because the mean of its divisors is an integer number (8323965).

Almost surely, 2214999000 is an apocalyptic number.

214999000 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 214999000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266366880).

214999000 is an abundant number, since it is smaller than the sum of its proper divisors (317734760).

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

214999000 is a wasteful number, since it uses less digits than its factorization.

214999000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12685 (or 12671 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 214999000 is about 14662.8441988586. The cubic root of 214999000 is about 599.0717126933.

The spelling of 214999000 in words is "two hundred fourteen million, nine hundred ninety-nine thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 12647 17000 25294 50588 63235 101176 126470 214999 252940 316175 429998 505880 632350 859996 1074995 1264700 1580875 1719992 2149990 2529400 3161750 4299980 5374975 6323500 8599960 10749950 12647000 21499900 26874875 42999800 53749750 107499500 214999000