Search a number
-
+
22804973064 = 2333234590373
BaseRepresentation
bin10101001111010010…
…000100011000001000
32011212022120122221000
4111033102010120020
5333201033114224
614250525415000
71435062033636
oct251722043010
964768518830
1022804973064
1197428a3885
12450540a460
1321c5856603
141164a42356
158d71390c9
hex54f484608

22804973064 has 64 divisors (see below), whose sum is σ = 66101385600. Its totient is φ = 7271149248.

The previous prime is 22804973047. The next prime is 22804973141. The reversal of 22804973064 is 46037940822.

22804973064 is a `hidden beast` number, since 22 + 80 + 497 + 3 + 0 + 64 = 666.

It is a super-3 number, since 3×228049730643 (a number of 32 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2290219 + ... + 2300154.

It is an arithmetic number, because the mean of its divisors is an integer number (1032834150).

Almost surely, 222804973064 is an apocalyptic number.

22804973064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22804973064 is an abundant number, since it is smaller than the sum of its proper divisors (43296412536).

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

22804973064 is a wasteful number, since it uses less digits than its factorization.

22804973064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590411 (or 4590401 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22804973064 in words is "twenty-two billion, eight hundred four million, nine hundred seventy-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 4590373 9180746 13771119 18361492 27542238 36722984 41313357 55084476 82626714 105578579 110168952 123940071 165253428 211157158 247880142 316735737 330506856 422314316 495760284 633471474 844628632 950207211 991520568 1266942948 1900414422 2533885896 2850621633 3800828844 5701243266 7601657688 11402486532 22804973064