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214207800 = 23352379649
BaseRepresentation
bin11001100010010…
…00110100111000
3112221001212212020
430301020310320
5414314122200
633131114440
75210510352
oct1461106470
9487055766
10214207800
11aaa07544
125b8a2a20
13354c01a1
14206400d2
1513c13ea0
hexcc48d38

214207800 has 96 divisors (see below), whose sum is σ = 682062000. Its totient is φ = 55572480.

The previous prime is 214207793. The next prime is 214207823. The reversal of 214207800 is 8702412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 17376 + ... + 27024.

Almost surely, 2214207800 is an apocalyptic number.

214207800 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 214207800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341031000).

214207800 is an abundant number, since it is smaller than the sum of its proper divisors (467854200).

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

214207800 is a wasteful number, since it uses less digits than its factorization.

214207800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9705 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 214207800 is about 14635.8395727748. The cubic root of 214207800 is about 598.3359446887.

The spelling of 214207800 in words is "two hundred fourteen million, two hundred seven thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 9649 11100 19298 22200 28947 38596 48245 57894 77192 96490 115788 144735 192980 231576 241225 289470 357013 385960 482450 578940 714026 723675 964900 1071039 1157880 1428052 1447350 1785065 1929800 2142078 2856104 2894700 3570130 4284156 5355195 5789400 7140260 8568312 8925325 10710390 14280520 17850650 21420780 26775975 35701300 42841560 53551950 71402600 107103900 214207800