Search a number
-
+
2192057088 = 28313216889
BaseRepresentation
bin1000001010101000…
…0010001100000000
312122202202001000120
42002222002030000
513442131311323
61001303220240
7105215114664
oct20252021400
95582661016
102192057088
11a253a4a31
12512147680
1328c1b0200
1416b1b08a4
15cc69d5e3
hex82a82300

2192057088 has 108 divisors (see below), whose sum is σ = 6317738280. Its totient is φ = 674439168.

The previous prime is 2192057083. The next prime is 2192057117. The reversal of 2192057088 is 8807502912.

It is a super-2 number, since 2×21920570882 = 9610228554102079488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2192057083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121348 + ... + 138236.

Almost surely, 22192057088 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 2192057088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158869140).

2192057088 is an abundant number, since it is smaller than the sum of its proper divisors (4125681192).

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

2192057088 is a wasteful number, since it uses less digits than its factorization.

2192057088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16934 (or 16907 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 2192057088 is about 46819.4093085336. The cubic root of 2192057088 is about 1299.0243346014.

The spelling of 2192057088 in words is "two billion, one hundred ninety-two million, fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 624 676 768 832 1014 1248 1352 1664 2028 2496 2704 3328 4056 4992 5408 8112 9984 10816 16224 16889 21632 32448 33778 43264 50667 64896 67556 101334 129792 135112 202668 219557 270224 405336 439114 540448 658671 810672 878228 1080896 1317342 1621344 1756456 2161792 2634684 2854241 3242688 3512912 4323584 5269368 5708482 6485376 7025824 8562723 10538736 11416964 12970752 14051648 17125446 21077472 22833928 28103296 34250892 42154944 45667856 56206592 68501784 84309888 91335712 137003568 168619776 182671424 274007136 365342848 548014272 730685696 1096028544 2192057088