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242104200 = 233521331039
BaseRepresentation
bin11100110111000…
…11011110001000
3121212120011112020
432123203132020
5443434313300
640005044440
75666565102
oct1633433610
9555504466
10242104200
11114730518
12690b6720
133b209830
1424222572
15163c48a0
hexe6e3788

242104200 has 96 divisors (see below), whose sum is σ = 808281600. Its totient is φ = 59592960.

The previous prime is 242104193. The next prime is 242104211. The reversal of 242104200 is 2401242.

It is a super-2 number, since 2×2421042002 = 117228887315280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 242104200.

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, 7720 + ... + 23319.

It is an arithmetic number, because the mean of its divisors is an integer number (8419600).

Almost surely, 2242104200 is an apocalyptic number.

242104200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242104200 is an abundant number, since it is smaller than the sum of its proper divisors (566177400).

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

242104200 is a wasteful number, since it uses less digits than its factorization.

242104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31071 (or 31062 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 242104200 is about 15559.6979405129. The cubic root of 242104200 is about 623.2573965152.

Adding to 242104200 its reverse (2401242), we get a palindrome (244505442).

The spelling of 242104200 in words is "two hundred forty-two million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 31039 62078 93117 124156 155195 186234 248312 310390 372468 403507 465585 620780 744936 775975 807014 931170 1210521 1241560 1551950 1614028 1862340 2017535 2327925 2421042 3103900 3228056 3724680 4035070 4655850 4842084 6052605 6207800 8070140 9311700 9684168 10087675 12105210 16140280 18623400 20175350 24210420 30263025 40350700 48420840 60526050 80701400 121052100 242104200