Search a number
-
+
2157773568 = 28322912269
BaseRepresentation
bin1000000010011101…
…0000001100000000
312120101020020212120
42000213100030000
513404342223233
6554040324240
7104320526016
oct20047201400
95511206776
102157773568
11a08009245
12502773680
132850685c2
141668088b6
15c967a4b3
hex809d0300

2157773568 has 72 divisors (see below), whose sum is σ = 5768372400. Its totient is φ = 716058624.

The previous prime is 2157773549. The next prime is 2157773587. The reversal of 2157773568 is 8653777512.

It is an interprime number because it is at equal distance from previous prime (2157773549) and next prime (2157773587).

It is a self number, because there is not a number n which added to its sum of digits gives 2157773568.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169738 + ... + 182006.

Almost surely, 22157773568 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 2157773568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884186200).

2157773568 is an abundant number, since it is smaller than the sum of its proper divisors (3610598832).

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

2157773568 is a wasteful number, since it uses less digits than its factorization.

2157773568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12517 (or 12503 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 51.

The square root of 2157773568 is about 46451.8413843843. The cubic root of 2157773568 is about 1292.2165222269.

The spelling of 2157773568 in words is "two billion, one hundred fifty-seven million, seven hundred seventy-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 384 458 687 768 916 1374 1832 2748 3664 5496 7328 10992 12269 14656 21984 24538 29312 36807 43968 49076 58624 73614 87936 98152 147228 175872 196304 294456 392608 588912 785216 1177824 1570432 2355648 2809601 3140864 4711296 5619202 8428803 9422592 11238404 16857606 22476808 33715212 44953616 67430424 89907232 134860848 179814464 269721696 359628928 539443392 719257856 1078886784 2157773568