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234460200 = 233521330059
BaseRepresentation
bin11011111100110…
…01010000101000
3121100011210221010
431332121100220
5440010211300
635133143520
75544610302
oct1576312050
9540153833
10234460200
1111038a467
126662aba0
1339761460
14231d2972
15158b4a50
hexdf99428

234460200 has 96 divisors (see below), whose sum is σ = 782762400. Its totient is φ = 57711360.

The previous prime is 234460147. The next prime is 234460207. The reversal of 234460200 is 2064432.

234460200 is digitally balanced in base 2, because in such base 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 (234460207) 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, 7230 + ... + 22829.

It is an arithmetic number, because the mean of its divisors is an integer number (8153775).

Almost surely, 2234460200 is an apocalyptic number.

234460200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234460200 is an abundant number, since it is smaller than the sum of its proper divisors (548302200).

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

234460200 is a wasteful number, since it uses less digits than its factorization.

234460200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30091 (or 30082 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 234460200 is about 15312.0932599041. The cubic root of 234460200 is about 616.6277193161.

The spelling of 234460200 in words is "two hundred thirty-four million, four hundred sixty 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 30059 60118 90177 120236 150295 180354 240472 300590 360708 390767 450885 601180 721416 751475 781534 901770 1172301 1202360 1502950 1563068 1803540 1953835 2254425 2344602 3005900 3126136 3607080 3907670 4508850 4689204 5861505 6011800 7815340 9017700 9378408 9769175 11723010 15630680 18035400 19538350 23446020 29307525 39076700 46892040 58615050 78153400 117230100 234460200