[go: up one dir, main page]

Search a number
-
+
22050960 = 2435139661
BaseRepresentation
bin101010000011…
…1100010010000
31112111022020020
41110013202100
521121112320
62104343440
7355300341
oct124074220
945438206
1022050960
11114a1238
127474b80
134750b09
142d000c8
151e08940
hex1507890

22050960 has 80 divisors (see below), whose sum is σ = 68953920. Its totient is φ = 5829120.

The previous prime is 22050949. The next prime is 22050971. The reversal of 22050960 is 6905022.

It is an interprime number because it is at equal distance from previous prime (22050949) and next prime (22050971).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22050960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33030 + ... + 33690.

It is an arithmetic number, because the mean of its divisors is an integer number (861924).

Almost surely, 222050960 is an apocalyptic number.

22050960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22050960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34476960).

22050960 is an abundant number, since it is smaller than the sum of its proper divisors (46902960).

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

22050960 is a wasteful number, since it uses less digits than its factorization.

22050960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 22050960 is about 4695.8449718874. The cubic root of 22050960 is about 280.4201176311.

Adding to 22050960 its reverse (6905022), we get a palindrome (28955982).

The spelling of 22050960 in words is "twenty-two million, fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 661 695 834 1112 1322 1390 1668 1983 2085 2224 2644 2780 3305 3336 3966 4170 5288 5560 6610 6672 7932 8340 9915 10576 11120 13220 15864 16680 19830 26440 31728 33360 39660 52880 79320 91879 158640 183758 275637 367516 459395 551274 735032 918790 1102548 1378185 1470064 1837580 2205096 2756370 3675160 4410192 5512740 7350320 11025480 22050960