Search a number
-
+
2196895360 = 2751132579
BaseRepresentation
bin1000001011110001…
…1111011010000000
312200002211211212211
42002330133122000
513444401122420
61001555031504
7105304205512
oct20274373200
95602754784
102196895360
11a280aa000
1251389b594
132901b54aa
1416baadbb2
15ccd06e5a
hex82f1f680

2196895360 has 128 divisors (see below), whose sum is σ = 5778993600. Its totient is φ = 798561280.

The previous prime is 2196895357. The next prime is 2196895369. The reversal of 2196895360 is 635986912.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2196895369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850551 + ... + 853129.

Almost surely, 22196895360 is an apocalyptic number.

2196895360 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 2196895360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889496800).

2196895360 is an abundant number, since it is smaller than the sum of its proper divisors (3582098240).

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

2196895360 is an equidigital number, since it uses as much as digits as its factorization.

2196895360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The square root of 2196895360 is about 46871.0503402687. The cubic root of 2196895360 is about 1299.9793606191.

The spelling of 2196895360 in words is "two billion, one hundred ninety-six million, eight hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 320 352 440 484 605 640 704 880 968 1210 1331 1408 1760 1936 2420 2579 2662 3520 3872 4840 5158 5324 6655 7040 7744 9680 10316 10648 12895 13310 15488 19360 20632 21296 25790 26620 28369 38720 41264 42592 51580 53240 56738 77440 82528 85184 103160 106480 113476 141845 165056 170368 206320 212960 226952 283690 312059 330112 412640 425920 453904 567380 624118 825280 851840 907808 1134760 1248236 1560295 1650560 1815616 2269520 2496472 3120590 3432649 3631232 4539040 4992944 6241180 6865298 9078080 9985888 12482360 13730596 17163245 18156160 19971776 24964720 27461192 34326490 39943552 49929440 54922384 68652980 99858880 109844768 137305960 199717760 219689536 274611920 439379072 549223840 1098447680 2196895360