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2314201320 = 233355573847
BaseRepresentation
bin1000100111101111…
…1110100011101000
312222021120121102000
42021323332203220
514214413420240
61021345211000
7111230246424
oct21173764350
95867517360
102314201320
11a88340782
12547030a60
132ab5a80c2
1417d4c7b84
15d8279430
hex89efe8e8

2314201320 has 128 divisors (see below), whose sum is σ = 7729862400. Its totient is φ = 615852288.

The previous prime is 2314201319. The next prime is 2314201333. The reversal of 2314201320 is 231024132.

2314201320 is a `hidden beast` number, since 231 + 420 + 13 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2314201293 and 2314201302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599637 + ... + 603483.

It is an arithmetic number, because the mean of its divisors is an integer number (60389550).

Almost surely, 22314201320 is an apocalyptic number.

2314201320 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 2314201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864931200).

2314201320 is an abundant number, since it is smaller than the sum of its proper divisors (5415661080).

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

2314201320 is a wasteful number, since it uses less digits than its factorization.

2314201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2314201320 is about 48106.1463848436. The cubic root of 2314201320 is about 1322.7173361701.

Adding to 2314201320 its reverse (231024132), we get a palindrome (2545225452).

The spelling of 2314201320 in words is "two billion, three hundred fourteen million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 557 1080 1114 1671 2228 2785 3342 3847 4456 5013 5570 6684 7694 8355 10026 11140 11541 13368 15039 15388 16710 19235 20052 22280 23082 25065 30078 30776 33420 34623 38470 40104 46164 50130 57705 60156 66840 69246 75195 76940 92328 100260 103869 115410 120312 138492 150390 153880 173115 200520 207738 230820 276984 300780 346230 415476 461640 519345 601560 692460 830952 1038690 1384920 2077380 2142779 4154760 4285558 6428337 8571116 10713895 12856674 17142232 19285011 21427790 25713348 32141685 38570022 42855580 51426696 57855033 64283370 77140044 85711160 96425055 115710066 128566740 154280088 192850110 231420132 257133480 289275165 385700220 462840264 578550330 771400440 1157100660 2314201320