Search a number
-
+
22109010 = 23571117563
BaseRepresentation
bin101010001010…
…1101101010010
31112121020212020
41110111231102
521124442020
62105512310
7355631520
oct124255522
945536766
1022109010
1111530910
1274a2696
134771371
142d17310
151e1ac40
hex1515b52

22109010 has 128 divisors (see below), whose sum is σ = 70170624. Its totient is φ = 4316160.

The previous prime is 22108997. The next prime is 22109029. The reversal of 22109010 is 1090122.

22109010 = T869 + T870 + ... + T923.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38989 + ... + 39551.

It is an arithmetic number, because the mean of its divisors is an integer number (548208).

Almost surely, 222109010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22109010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35085312).

22109010 is an abundant number, since it is smaller than the sum of its proper divisors (48061614).

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

22109010 is a wasteful number, since it uses less digits than its factorization.

22109010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 22109010 is about 4702.0219055211. The cubic root of 22109010 is about 280.6659742618.

Adding to 22109010 its reverse (1090122), we get a palindrome (23199132).

It can be divided in two parts, 2 and 2109010, that added together give a palindrome (2109012).

The spelling of 22109010 in words is "twenty-two million, one hundred nine thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 17 21 22 30 33 34 35 42 51 55 66 70 77 85 102 105 110 119 154 165 170 187 210 231 238 255 330 357 374 385 462 510 561 563 595 714 770 935 1122 1126 1155 1190 1309 1689 1785 1870 2310 2618 2805 2815 3378 3570 3927 3941 5610 5630 6193 6545 7854 7882 8445 9571 11823 12386 13090 16890 18579 19142 19635 19705 23646 28713 30965 37158 39270 39410 43351 47855 57426 59115 61930 66997 86702 92895 95710 105281 118230 130053 133994 143565 185790 200991 210562 216755 260106 287130 315843 334985 401982 433510 526405 631686 650265 669970 736967 1004955 1052810 1300530 1473934 1579215 2009910 2210901 3158430 3684835 4421802 7369670 11054505 22109010