Search a number
-
+
2192085768 = 233173683773
BaseRepresentation
bin1000001010101000…
…1001001100001000
312122202210111100210
42002222021030020
513442133221033
61001304001120
7105215264415
oct20252111410
95582714323
102192085768
11a25414534
125121601a0
1328c1c0292
1416b1bb10c
15cc6a6d63
hex82a89308

2192085768 has 64 divisors (see below), whose sum is σ = 5527103040. Its totient is φ = 724469504.

The previous prime is 2192085761. The next prime is 2192085793. The reversal of 2192085768 is 8675802912.

It is not an unprimeable number, because it can be changed into a prime (2192085761) 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, 2835430 + ... + 2836202.

It is an arithmetic number, because the mean of its divisors is an integer number (86360985).

Almost surely, 22192085768 is an apocalyptic number.

It is an amenable number.

2192085768 is an abundant number, since it is smaller than the sum of its proper divisors (3335017272).

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

2192085768 is a wasteful number, since it uses less digits than its factorization.

2192085768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 2192085768 is about 46819.7155907637. The cubic root of 2192085768 is about 1299.0299998820.

The spelling of 2192085768 in words is "two billion, one hundred ninety-two million, eighty-five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 173 346 519 683 692 773 1038 1366 1384 1546 2049 2076 2319 2732 3092 4098 4152 4638 5464 6184 8196 9276 16392 18552 118159 133729 236318 267458 354477 401187 472636 527959 534916 708954 802374 945272 1055918 1069832 1417908 1583877 1604748 2111836 2835816 3167754 3209496 4223672 6335508 12671016 91336907 182673814 274010721 365347628 548021442 730695256 1096042884 2192085768