Search a number
-
+
22776401408 = 29291533971
BaseRepresentation
bin10101001101100101…
…000100111000000000
32011210022211001222112
4111031211010320000
5333121224321113
614244025154452
71434264134435
oct251545047000
964708731875
1022776401408
119728759542
1244b792ba28
1321bc9617c7
141160d25b8c
158d48935a8
hex54d944e00

22776401408 has 40 divisors (see below), whose sum is σ = 47077600680. Its totient is φ = 10995496960.

The previous prime is 22776401393. The next prime is 22776401443. The reversal of 22776401408 is 80410467722.

It is a happy number.

It is a super-2 number, since 2×227764014082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 752138 + ... + 781833.

It is an arithmetic number, because the mean of its divisors is an integer number (1176940017).

Almost surely, 222776401408 is an apocalyptic number.

It is an amenable number.

22776401408 is an abundant number, since it is smaller than the sum of its proper divisors (24301199272).

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

22776401408 is an equidigital number, since it uses as much as digits as its factorization.

22776401408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534018 (or 1534002 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The spelling of 22776401408 in words is "twenty-two billion, seven hundred seventy-six million, four hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1856 3712 7424 14848 1533971 3067942 6135884 12271768 24543536 44485159 49087072 88970318 98174144 177940636 196348288 355881272 392696576 711762544 785393152 1423525088 2847050176 5694100352 11388200704 22776401408