Search a number
-
+
22090282384 = 247325092
BaseRepresentation
bin10100100100101011…
…101111010110010000
32010000111202121121211
4110210223233112100
5330220103014014
614051555225504
71411263205432
oct244453572620
963014677554
1022090282384
119406430125
124345ba8294
132110772611
1410d7b62652
15894513cc4
hex524aef590

22090282384 has 45 divisors (see below), whose sum is σ = 43479675363. Its totient is φ = 10872435456.

The previous prime is 22090282373. The next prime is 22090282429. The reversal of 22090282384 is 48328209022.

The square root of 22090282384 is 148628.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3450387600 + 18639894784 = 58740^2 + 136528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43399122 + ... + 43399630.

Almost surely, 222090282384 is an apocalyptic number.

22090282384 is the 148628-th square number.

It is an amenable number.

22090282384 is a deficient number, since it is larger than the sum of its proper divisors (21389392979).

22090282384 is an frugal number, since it uses more digits than its factorization.

22090282384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 22090282384 in words is "twenty-two billion, ninety million, two hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 73 146 292 509 584 1018 1168 2036 4072 5329 8144 10658 21316 37157 42632 74314 85264 148628 259081 297256 518162 594512 1036324 2072648 2712461 4145296 5424922 10849844 18912913 21699688 37825826 43399376 75651652 151303304 302606608 1380642649 2761285298 5522570596 11045141192 22090282384