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314230000 = 24547672
BaseRepresentation
bin10010101110101…
…100010011110000
3210220021112112011
4102232230103300
51120420330000
651103012304
710533624310
oct2256542360
9726245464
10314230000
11151413717
128929a094
1350140b16
142da39440
151c8c02ba
hex12bac4f0

314230000 has 150 divisors (see below), whose sum is σ = 882636216. Its totient is φ = 106128000.

The previous prime is 314229997. The next prime is 314230013. The reversal of 314230000 is 32413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4689967 + ... + 4690033.

Almost surely, 2314230000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441318108).

314230000 is an abundant number, since it is smaller than the sum of its proper divisors (568406216).

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

314230000 is an frugal number, since it uses more digits than its factorization.

314230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 314230000 is about 17726.5337841328. The cubic root of 314230000 is about 679.8543517357.

Adding to 314230000 its reverse (32413), we get a palindrome (314262413).

The spelling of 314230000 in words is "three hundred fourteen million, two hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 67 70 80 100 112 125 134 140 175 200 250 268 280 335 350 400 469 500 536 560 625 670 700 875 938 1000 1072 1250 1340 1400 1675 1750 1876 2000 2345 2500 2680 2800 3350 3500 3752 4375 4489 4690 5000 5360 6700 7000 7504 8375 8750 8978 9380 10000 11725 13400 14000 16750 17500 17956 18760 22445 23450 26800 31423 33500 35000 35912 37520 41875 44890 46900 58625 62846 67000 70000 71824 83750 89780 93800 112225 117250 125692 134000 157115 167500 179560 187600 224450 234500 251384 293125 314230 335000 359120 448900 469000 502768 561125 586250 628460 670000 785575 897800 938000 1122250 1172500 1256920 1571150 1795600 2244500 2345000 2513840 2805625 3142300 3927875 4489000 4690000 5611250 6284600 7855750 8978000 11222500 12569200 15711500 19639375 22445000 31423000 39278750 44890000 62846000 78557500 157115000 314230000