Search a number
-
+
214395300 = 223252734031
BaseRepresentation
bin11001100011101…
…10100110100100
3112221102102001200
430301312212210
5414341122200
633135122500
75212221120
oct1461664644
9487372050
10214395300
111000253a9
125b973430
1335557632
142068c580
1513c4e800
hexcc769a4

214395300 has 108 divisors (see below), whose sum is σ = 768034176. Its totient is φ = 49003200.

The previous prime is 214395283. The next prime is 214395301. The reversal of 214395300 is 3593412.

214395300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214395301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10716 + ... + 23315.

Almost surely, 2214395300 is an apocalyptic number.

214395300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214395300 is an abundant number, since it is smaller than the sum of its proper divisors (553638876).

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

214395300 is a wasteful number, since it uses less digits than its factorization.

214395300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34058 (or 34048 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 214395300 is about 14642.2436805293. The cubic root of 214395300 is about 598.5104719034.

The spelling of 214395300 in words is "two hundred fourteen million, three hundred ninety-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 34031 68062 102093 136124 170155 204186 238217 306279 340310 408372 476434 510465 612558 680620 714651 850775 952868 1020930 1191085 1225116 1429302 1531395 1701550 2041860 2143953 2382170 2552325 2858604 3062790 3403100 3573255 4287906 4764340 5104650 5955425 6125580 7146510 7656975 8575812 10209300 10719765 11910850 14293020 15313950 17866275 21439530 23821700 30627900 35732550 42879060 53598825 71465100 107197650 214395300