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234212300 = 225275359107
BaseRepresentation
bin11011111010111…
…00101111001100
3121022201012212122
431331130233030
5434424243200
635123552112
75542525460
oct1575345714
9538635778
10234212300
11110230193
126652b638
13396a567a
142316a4a0
1515866385
hexdf5cbcc

234212300 has 144 divisors (see below), whose sum is σ = 607461120. Its totient is φ = 76727040.

The previous prime is 234212287. The next prime is 234212309. The reversal of 234212300 is 3212432.

It is not an unprimeable number, because it can be changed into a prime (234212309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2188847 + ... + 2188953.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2234212300 is an apocalyptic number.

234212300 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 234212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

234212300 is an abundant number, since it is smaller than the sum of its proper divisors (373248820).

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

234212300 is a wasteful number, since it uses less digits than its factorization.

234212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 234212300 is about 15303.9962101407. The cubic root of 234212300 is about 616.4103179290.

Adding to 234212300 its reverse (3212432), we get a palindrome (237424732).

The spelling of 234212300 in words is "two hundred thirty-four million, two hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 59 70 100 106 107 118 140 175 212 214 236 265 295 350 371 413 428 530 535 590 700 742 749 826 1060 1070 1180 1325 1475 1484 1498 1652 1855 2065 2140 2650 2675 2950 2996 3127 3710 3745 4130 5300 5350 5671 5900 6254 6313 7420 7490 8260 9275 10325 10700 11342 12508 12626 14980 15635 18550 18725 20650 21889 22684 25252 28355 31270 31565 37100 37450 39697 41300 43778 44191 56710 62540 63130 74900 78175 79394 87556 88382 109445 113420 126260 141775 156350 157825 158788 176764 198485 218890 220955 283550 312700 315650 334589 396970 437780 441910 547225 567100 631300 669178 793940 883820 992425 1094450 1104775 1338356 1672945 1984850 2188900 2209550 2342123 3345890 3969700 4419100 4684246 6691780 8364725 9368492 11710615 16729450 23421230 33458900 46842460 58553075 117106150 234212300