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214240313400 = 233521913186653
BaseRepresentation
bin1100011110000110110…
…1111100000000111000
3202110222202221120002020
43013201231330000320
512002231010012100
6242230505234440
721323034421461
oct3074155740070
9673882846066
10214240313400
118294a087453
1235630792a20
131728365b719
14a525471d68
15588d7265a0
hex31e1b7c038

214240313400 has 96 divisors (see below), whose sum is σ = 664495706160. Its totient is φ = 57100579840.

The previous prime is 214240313389. The next prime is 214240313501. The reversal of 214240313400 is 4313042412.

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, 1054474 + ... + 1241126.

Almost surely, 2214240313400 is an apocalyptic number.

214240313400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214240313400 is an abundant number, since it is smaller than the sum of its proper divisors (450255392760).

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

214240313400 is a wasteful number, since it uses less digits than its factorization.

214240313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188585 (or 188576 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 214240313400 its reverse (4313042412), we get a palindrome (218553355812).

The spelling of 214240313400 in words is "two hundred fourteen billion, two hundred forty million, three hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1913 3826 5739 7652 9565 11478 15304 19130 22956 28695 38260 45912 47825 57390 76520 95650 114780 143475 186653 191300 229560 286950 373306 382600 559959 573900 746612 933265 1119918 1147800 1493224 1866530 2239836 2799795 3733060 4479672 4666325 5599590 7466120 9332650 11199180 13998975 18665300 22398360 27997950 37330600 55995900 111991800 357067189 714134378 1071201567 1428268756 1785335945 2142403134 2856537512 3570671890 4284806268 5356007835 7141343780 8569612536 8926679725 10712015670 14282687560 17853359450 21424031340 26780039175 35706718900 42848062680 53560078350 71413437800 107120156700 214240313400