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22683050640 = 24325291086353
BaseRepresentation
bin10101001000000000…
…111110001010010000
32011112211011100210200
4111020000332022100
5332423330110030
614230452255200
71432051514655
oct251000761220
964484140720
1022683050640
11968aa99748
124490611500
1321a6508673
141152785c2c
158cb5a3d60
hex54803e290

22683050640 has 120 divisors (see below), whose sum is σ = 78804119160. Its totient is φ = 5840228352.

The previous prime is 22683050627. The next prime is 22683050647. The reversal of 22683050640 is 4605038622.

22683050640 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 3 + 0 + 5 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 441504144 + 22241546496 = 21012^2 + 149136^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 22683050595 and 22683050604.

It is not an unprimeable number, because it can be changed into a prime (22683050647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522297 + ... + 564056.

It is an arithmetic number, because the mean of its divisors is an integer number (656700993).

Almost surely, 222683050640 is an apocalyptic number.

22683050640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22683050640 is an abundant number, since it is smaller than the sum of its proper divisors (56121068520).

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

22683050640 is a wasteful number, since it uses less digits than its factorization.

22683050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086401 (or 1086392 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22683050640 in words is "twenty-two billion, six hundred eighty-three million, fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 1086353 2172706 3259059 4345412 5431765 6518118 8690824 9777177 10863530 13036236 16295295 17381648 19554354 21727060 26072472 31504237 32590590 39108708 43454120 48885885 52144944 63008474 65181180 78217416 86908240 94512711 97771770 126016948 130362360 156434832 157521185 189025422 195543540 252033896 260724720 283538133 315042370 378050844 391087080 472563555 504067792 567076266 630084740 756101688 782174160 945127110 1134152532 1260169480 1417690665 1512203376 1890254220 2268305064 2520338960 2835381330 3780508440 4536610128 5670762660 7561016880 11341525320 22683050640