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214196300 = 22524189587
BaseRepresentation
bin11001100010001…
…10000001001100
3112221001022002022
430301012001030
5414313240200
633130545312
75210432003
oct1461060114
9487038068
10214196300
11aa9a993a
125b898238
13354b7b96
1420639c3a
1513c10885
hexcc4604c

214196300 has 72 divisors (see below), whose sum is σ = 482312880. Its totient is φ = 82508800.

The previous prime is 214196239. The next prime is 214196351. The reversal of 214196300 is 3691412.

It is a self number, because there is not a number n which added to its sum of digits gives 214196300.

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, 364607 + ... + 365193.

It is an arithmetic number, because the mean of its divisors is an integer number (6698790).

Almost surely, 2214196300 is an apocalyptic number.

214196300 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 214196300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241156440).

214196300 is an abundant number, since it is smaller than the sum of its proper divisors (268116580).

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

214196300 is a wasteful number, since it uses less digits than its factorization.

214196300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 214196300 is about 14635.4466962918. The cubic root of 214196300 is about 598.3252370386.

The spelling of 214196300 in words is "two hundred fourteen million, one hundred ninety-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 89 100 164 178 205 356 410 445 587 820 890 1025 1174 1780 2050 2225 2348 2935 3649 4100 4450 5870 7298 8900 11740 14596 14675 18245 24067 29350 36490 48134 52243 58700 72980 91225 96268 104486 120335 182450 208972 240670 261215 364900 481340 522430 601675 1044860 1203350 1306075 2141963 2406700 2612150 4283926 5224300 8567852 10709815 21419630 42839260 53549075 107098150 214196300