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2143212240 = 2435131136079
BaseRepresentation
bin111111110111110…
…1101001011010000
312112100211110111010
41333233231023100
513342130242430
6552400250520
7104053001121
oct17757551320
95470743433
102143212240
119aa873094
124b9910a40
1328203a830
141648d8048
15c8250cb0
hex7fbed2d0

2143212240 has 160 divisors (see below), whose sum is σ = 7219537920. Its totient is φ = 522805248.

The previous prime is 2143212233. The next prime is 2143212241. The reversal of 2143212240 is 422123412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143212241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349521 + ... + 355599.

It is an arithmetic number, because the mean of its divisors is an integer number (45122112).

Almost surely, 22143212240 is an apocalyptic number.

2143212240 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 2143212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609768960).

2143212240 is an abundant number, since it is smaller than the sum of its proper divisors (5076325680).

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

2143212240 is a wasteful number, since it uses less digits than its factorization.

2143212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6221 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2143212240 is about 46294.8403172535. The cubic root of 2143212240 is about 1289.3031991931.

Adding to 2143212240 its reverse (422123412), we get a palindrome (2565335652).

The spelling of 2143212240 in words is "two billion, one hundred forty-three million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 113 120 130 156 195 208 226 240 260 312 339 390 452 520 565 624 678 780 904 1040 1130 1356 1469 1560 1695 1808 2260 2712 2938 3120 3390 4407 4520 5424 5876 6079 6780 7345 8814 9040 11752 12158 13560 14690 17628 18237 22035 23504 24316 27120 29380 30395 35256 36474 44070 48632 58760 60790 70512 72948 79027 88140 91185 97264 117520 121580 145896 158054 176280 182370 237081 243160 291792 316108 352560 364740 395135 474162 486320 632216 686927 729480 790270 948324 1185405 1264432 1373854 1458960 1580540 1896648 2060781 2370810 2747708 3161080 3434635 3793296 4121562 4741620 5495416 6322160 6869270 8243124 8930051 9483240 10303905 10990832 13738540 16486248 17860102 18966480 20607810 26790153 27477080 32972496 35720204 41215620 44650255 53580306 54954160 71440408 82431240 89300510 107160612 133950765 142880816 164862480 178601020 214321224 267901530 357202040 428642448 535803060 714404080 1071606120 2143212240