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2140343200 = 255223891307
BaseRepresentation
bin111111110010011…
…0000101110100000
312112011102200220101
41333210300232200
513340411440300
6552214552144
7104016421432
oct17744605640
95464380811
102140343200
119a9193586
124b8968654
13281574988
1416438c652
15c7d85b6a
hex7f930ba0

2140343200 has 144 divisors (see below), whose sum is σ = 5517771840. Its totient is φ = 809093120.

The previous prime is 2140343171. The next prime is 2140343237. The reversal of 2140343200 is 23430412.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636947 + ... + 1638253.

It is an arithmetic number, because the mean of its divisors is an integer number (38317860).

Almost surely, 22140343200 is an apocalyptic number.

2140343200 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 2140343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758885920).

2140343200 is an abundant number, since it is smaller than the sum of its proper divisors (3377428640).

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

2140343200 is a wasteful number, since it uses less digits than its factorization.

2140343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2140343200 is about 46263.8433336445. The cubic root of 2140343200 is about 1288.7276279066.

Adding to 2140343200 its reverse (23430412), we get a palindrome (2163773612).

The spelling of 2140343200 in words is "two billion, one hundred forty million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 89 92 100 115 160 178 184 200 230 356 368 400 445 460 575 712 736 800 890 920 1150 1307 1424 1780 1840 2047 2225 2300 2614 2848 3560 3680 4094 4450 4600 5228 6535 7120 8188 8900 9200 10235 10456 13070 14240 16376 17800 18400 20470 20912 26140 30061 32675 32752 35600 40940 41824 51175 52280 60122 65350 65504 71200 81880 102350 104560 116323 120244 130700 150305 163760 204700 209120 232646 240488 261400 300610 327520 409400 465292 480976 522800 581615 601220 751525 818800 930584 961952 1045600 1163230 1202440 1503050 1637600 1861168 2326460 2404880 2675429 2908075 3006100 3722336 4652920 4809760 5350858 5816150 6012200 9305840 10701716 11632300 12024400 13377145 18611680 21403432 23264600 24048800 26754290 42806864 46529200 53508580 66885725 85613728 93058400 107017160 133771450 214034320 267542900 428068640 535085800 1070171600 2140343200