Search a number
-
+
22679041104 = 2432413841301
BaseRepresentation
bin10101000111110001…
…101011010001010000
32011112112121122202100
4111013301223101100
5332421313303404
614230230320400
71432002445236
oct250761532120
964475548670
1022679041104
119688800285
12448b1b9100
1321a5733665
141152020956
158cb060d39
hex547c6b450

22679041104 has 60 divisors (see below), whose sum is σ = 65017877652. Its totient is φ = 7375296000.

The previous prime is 22679041067. The next prime is 22679041139. The reversal of 22679041104 is 40114097622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6358467600 + 16320573504 = 79740^2 + 127752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1914747 + ... + 1926554.

Almost surely, 222679041104 is an apocalyptic number.

22679041104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22679041104 is an abundant number, since it is smaller than the sum of its proper divisors (42338836548).

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

22679041104 is a wasteful number, since it uses less digits than its factorization.

22679041104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841356 (or 3841347 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22679041104 in words is "twenty-two billion, six hundred seventy-nine million, forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 3841301 7682602 11523903 15365204 23047806 30730408 34571709 46095612 61460816 69143418 92191224 138286836 157493341 184382448 276573672 314986682 472480023 553147344 629973364 944960046 1259946728 1417440069 1889920092 2519893456 2834880138 3779840184 5669760276 7559680368 11339520552 22679041104