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2196883728 = 243313230091
BaseRepresentation
bin1000001011110001…
…1100100100010000
312200002211020221000
42002330130210100
513444400234403
61001554502000
7105304126554
oct20274344420
95602736830
102196883728
11a280a1296
12513894900
132901b0100
1416baa9864
15ccd037a3
hex82f1c910

2196883728 has 120 divisors (see below), whose sum is σ = 6828476640. Its totient is φ = 675941760.

The previous prime is 2196883723. The next prime is 2196883739. The reversal of 2196883728 is 8273886912.

It is a happy number.

2196883728 is a `hidden beast` number, since 2 + 196 + 88 + 372 + 8 = 666.

It is a super-3 number, since 3×21968837283 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2196883723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57963 + ... + 88053.

It is an arithmetic number, because the mean of its divisors is an integer number (56903972).

Almost surely, 22196883728 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 2196883728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414238320).

2196883728 is an abundant number, since it is smaller than the sum of its proper divisors (4631592912).

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

2196883728 is a wasteful number, since it uses less digits than its factorization.

2196883728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30134 (or 30109 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 2196883728 is about 46870.9262549824. The cubic root of 2196883728 is about 1299.9770662621.

The spelling of 2196883728 in words is "two billion, one hundred ninety-six million, eight hundred eighty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1352 1404 1521 1872 2028 2704 2808 3042 4056 4563 5616 6084 8112 9126 12168 18252 24336 30091 36504 60182 73008 90273 120364 180546 240728 270819 361092 391183 481456 541638 722184 782366 812457 1083276 1173549 1444368 1564732 1624914 2166552 2347098 3129464 3249828 3520647 4333104 4694196 5085379 6258928 6499656 7041294 9388392 10170758 10561941 12999312 14082588 15256137 18776784 20341516 21123882 28165176 30512274 40683032 42247764 45768411 56330352 61024548 81366064 84495528 91536822 122049096 137305233 168991056 183073644 244098192 274610466 366147288 549220932 732294576 1098441864 2196883728