Search a number
-
+
2189766474 = 234723591423
BaseRepresentation
bin1000001010000101…
…0010111101001010
312122121102122220000
42002201102331022
513441040011344
61001142143430
7105156464550
oct20241227512
95577378800
102189766474
11a2407aa65
12511421b76
1328b88a70c
1416ab75bd0
15cc399a69
hex82852f4a

2189766474 has 160 divisors (see below), whose sum is σ = 5954826240. Its totient is φ = 587888928.

The previous prime is 2189766463. The next prime is 2189766541. The reversal of 2189766474 is 4746679812.

2189766474 is a `hidden beast` number, since 21 + 8 + 97 + 66 + 474 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2189766474.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1538127 + ... + 1539549.

It is an arithmetic number, because the mean of its divisors is an integer number (37217664).

Almost surely, 22189766474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2189766474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977413120).

2189766474 is an abundant number, since it is smaller than the sum of its proper divisors (3765059766).

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

2189766474 is a wasteful number, since it uses less digits than its factorization.

2189766474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1517 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2189766474 is about 46794.9406880701. The cubic root of 2189766474 is about 1298.5717003468.

The spelling of 2189766474 in words is "two billion, one hundred eighty-nine million, seven hundred sixty-six thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 59 63 69 81 118 126 138 161 162 177 189 207 322 354 378 413 414 483 531 567 621 826 966 1062 1134 1239 1242 1357 1423 1449 1593 1863 2478 2714 2846 2898 3186 3717 3726 4071 4269 4347 4779 7434 8142 8538 8694 9499 9558 9961 11151 12213 12807 13041 18998 19922 22302 24426 25614 26082 28497 29883 32729 33453 36639 38421 56994 59766 65458 66906 73278 76842 83957 85491 89649 98187 109917 115263 167914 170982 179298 196374 219834 229103 230526 251871 256473 268947 294561 458206 503742 512946 537894 587699 589122 687309 755613 769419 806841 883683 1175398 1374618 1511226 1538838 1613682 1763097 1767366 1931011 2061927 2266839 2651049 3526194 3862022 4123854 4533678 5289291 5302098 5793033 6185781 6800517 10578582 11586066 12371562 13517077 13601034 15867873 17379099 18557343 27034154 31735746 34758198 37114686 40551231 47603619 52137297 81102462 95207238 104274594 121653693 156411891 243307386 312823782 364961079 729922158 1094883237 2189766474