Search a number
-
+
299414200 = 235217831061
BaseRepresentation
bin10001110110001…
…011001010111000
3202212101211001211
4101312023022320
51103122223300
645413252504
710263656461
oct2166131270
9685354054
10299414200
11144014358
1284334134
134a054287
142ba9dd68
151b4454ba
hex11d8b2b8

299414200 has 96 divisors (see below), whose sum is σ = 746670960. Its totient is φ = 111257600.

The previous prime is 299414189. The next prime is 299414209. The reversal of 299414200 is 2414992.

It is a happy number.

It is a super-3 number, since 3×2994142003 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (299414209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281670 + ... + 282730.

Almost surely, 2299414200 is an apocalyptic number.

299414200 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 299414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373335480).

299414200 is an abundant number, since it is smaller than the sum of its proper divisors (447256760).

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

299414200 is a wasteful number, since it uses less digits than its factorization.

299414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 299414200 is about 17303.5892230485. The cubic root of 299414200 is about 668.9969396955.

The spelling of 299414200 in words is "two hundred ninety-nine million, four hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 83 85 100 136 166 170 200 332 340 415 425 664 680 830 850 1061 1411 1660 1700 2075 2122 2822 3320 3400 4150 4244 5305 5644 7055 8300 8488 10610 11288 14110 16600 18037 21220 26525 28220 35275 36074 42440 53050 56440 70550 72148 88063 90185 106100 141100 144296 176126 180370 212200 282200 352252 360740 440315 450925 704504 721480 880630 901850 1497071 1761260 1803700 2201575 2994142 3522520 3607400 4403150 5988284 7485355 8806300 11976568 14970710 17612600 29941420 37426775 59882840 74853550 149707100 299414200