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298168920 = 233257216903
BaseRepresentation
bin10001110001011…
…011001001011000
3202210001112212100
4101301123021120
51102312401140
645330443400
710250252100
oct2161331130
9683045770
10298168920
111433437a5
1283a33560
1349a0951a
142b858200
151b29b530
hex11c5b258

298168920 has 144 divisors (see below), whose sum is σ = 1127327760. Its totient is φ = 68148864.

The previous prime is 298168907. The next prime is 298168921. The reversal of 298168920 is 29861892.

298168920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (298168921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9189 + ... + 26091.

It is an arithmetic number, because the mean of its divisors is an integer number (7828665).

Almost surely, 2298168920 is an apocalyptic number.

298168920 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 298168920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563663880).

298168920 is an abundant number, since it is smaller than the sum of its proper divisors (829158840).

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

298168920 is a wasteful number, since it uses less digits than its factorization.

298168920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16934 (or 16920 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 298168920 is about 17267.5684449201. The cubic root of 298168920 is about 668.0681859951.

The spelling of 298168920 in words is "two hundred ninety-eight million, one hundred sixty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 16903 17640 33806 50709 67612 84515 101418 118321 135224 152127 169030 202836 236642 253545 304254 338060 354963 405672 473284 507090 591605 608508 676120 709926 760635 828247 946568 1014180 1064889 1183210 1217016 1419852 1521270 1656494 1774815 2028360 2129778 2366420 2484741 2839704 3042540 3312988 3549630 4141235 4259556 4732840 4969482 5324445 6085080 6625976 7099260 7454223 8282470 8519112 9938964 10648890 12423705 14198520 14908446 16564940 19877928 21297780 24847410 29816892 33129880 37271115 42595560 49694820 59633784 74542230 99389640 149084460 298168920