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234223014300 = 2235211321722063
BaseRepresentation
bin1101101000100011000…
…1111001000110011100
3211101120101220221102120
43122020301321012130
512314142042424200
6255333420022540
722631156525622
oct3321061710634
9741511827376
10234223014300
11903738703a0
1239488991a50
131911958a3b2
14b49d333512
15615cbc69a0
hex3688c7919c

234223014300 has 144 divisors (see below), whose sum is σ = 739556332032. Its totient is φ = 56761113600.

The previous prime is 234223014299. The next prime is 234223014313. The reversal of 234223014300 is 3410322432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10605069 + ... + 10627131.

Almost surely, 2234223014300 is an apocalyptic number.

234223014300 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 234223014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369778166016).

234223014300 is an abundant number, since it is smaller than the sum of its proper divisors (505333317732).

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

234223014300 is a wasteful number, since it uses less digits than its factorization.

234223014300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25308 (or 25301 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 234223014300 its reverse (3410322432), we get a palindrome (237633336732).

The spelling of 234223014300 in words is "two hundred thirty-four billion, two hundred twenty-three million, fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3217 3300 6434 9651 12868 16085 19302 22063 32170 35387 38604 44126 48255 64340 66189 70774 80425 88252 96510 106161 110315 132378 141548 160850 176935 193020 212322 220630 241275 242693 264756 321700 330945 353870 424644 441260 482550 485386 530805 551575 661890 707740 728079 884675 965100 970772 1061610 1103150 1213465 1323780 1456158 1654725 1769350 2123220 2206300 2426930 2654025 2912316 3309450 3538700 3640395 4853860 5308050 6067325 6618900 7280790 10616100 12134650 14561580 18201975 24269300 36403950 70976671 72807900 141953342 212930013 283906684 354883355 425860026 709766710 780743381 851720052 1064650065 1419533420 1561486762 1774416775 2129300130 2342230143 3122973524 3548833550 3903716905 4258600260 4684460286 5323250325 7097667100 7807433810 9368920572 10646500650 11711150715 15614867620 19518584525 21293001300 23422301430 39037169050 46844602860 58555753575 78074338100 117111507150 234223014300