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22050444 = 22313283131
BaseRepresentation
bin101010000011…
…1011010001100
31112111021112010
41110013122030
521121103234
62104341220
7355266003
oct124073214
945437463
1022050444
11114a0909
127474810
134750800
142cddc3a
151e086e9
hex150768c

22050444 has 72 divisors (see below), whose sum is σ = 56814912. Its totient is φ = 6651840.

The previous prime is 22050433. The next prime is 22050467. The reversal of 22050444 is 44405022.

22050444 = T424 + T425 + ... + T592.

It is a self number, because there is not a number n which added to its sum of digits gives 22050444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168259 + ... + 168389.

It is an arithmetic number, because the mean of its divisors is an integer number (789096).

Almost surely, 222050444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22050444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28407456).

22050444 is an abundant number, since it is smaller than the sum of its proper divisors (34764468).

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

22050444 is a wasteful number, since it uses less digits than its factorization.

22050444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 22050444 is about 4695.7900293774. The cubic root of 22050444 is about 280.4179303052.

Adding to 22050444 its reverse (44405022), we get a palindrome (66455466).

The spelling of 22050444 in words is "twenty-two million, fifty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 131 156 166 169 249 262 332 338 393 498 507 524 676 786 996 1014 1079 1572 1703 2028 2158 3237 3406 4316 5109 6474 6812 10218 10873 12948 14027 20436 21746 22139 28054 32619 42081 43492 44278 56108 65238 66417 84162 88556 130476 132834 141349 168324 265668 282698 424047 565396 848094 1696188 1837537 3675074 5512611 7350148 11025222 22050444