Search a number
-
+
2277772740 = 2232531408203
BaseRepresentation
bin1000011111000100…
…0000110111000100
312212202000211210100
42013301000313010
514131102211430
61014004324100
7110305514565
oct20761006704
95782024710
102277772740
11a6981a411
125369a3630
132a3b92029
1417872416c
15d4e80960
hex87c40dc4

2277772740 has 72 divisors (see below), whose sum is σ = 7132140288. Its totient is φ = 587810880.

The previous prime is 2277772733. The next prime is 2277772769. The reversal of 2277772740 is 472777722.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 198522 + ... + 209681.

It is an arithmetic number, because the mean of its divisors is an integer number (99057504).

Almost surely, 22277772740 is an apocalyptic number.

2277772740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2277772740 is an abundant number, since it is smaller than the sum of its proper divisors (4854367548).

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

2277772740 is a wasteful number, since it uses less digits than its factorization.

2277772740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408249 (or 408244 counting only the distinct ones).

The product of its (nonzero) digits is 537824, while the sum is 45.

The square root of 2277772740 is about 47726.0174328426. The cubic root of 2277772740 is about 1315.7401588159.

The spelling of 2277772740 in words is "two billion, two hundred seventy-seven million, seven hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 408203 816406 1224609 1632812 2041015 2449218 3673827 4082030 4898436 6123045 7347654 8164060 12246090 12654293 14695308 18369135 24492180 25308586 36738270 37962879 50617172 63271465 73476540 75925758 113888637 126542930 151851516 189814395 227777274 253085860 379628790 455554548 569443185 759257580 1138886370 2277772740