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22106340 = 22325191643
BaseRepresentation
bin101010001010…
…1000011100100
31112121010012100
41110111003210
521124400330
62105452100
7355620654
oct124250344
945533170
1022106340
1111529903
1274a1030
134770099
142d16364
151e1a060
hex15150e4

22106340 has 72 divisors (see below), whose sum is σ = 67511808. Its totient is φ = 5855040.

The previous prime is 22106327. The next prime is 22106351. The reversal of 22106340 is 4360122.

It is a happy number.

22106340 is a `hidden beast` number, since 22 + 10 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34059 + ... + 34701.

It is an arithmetic number, because the mean of its divisors is an integer number (937664).

Almost surely, 222106340 is an apocalyptic number.

22106340 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 22106340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33755904).

22106340 is an abundant number, since it is smaller than the sum of its proper divisors (45405468).

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

22106340 is a wasteful number, since it uses less digits than its factorization.

22106340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22106340 is about 4701.7379765359. The cubic root of 22106340 is about 280.6546755753.

Adding to 22106340 its reverse (4360122), we get a palindrome (26466462).

The spelling of 22106340 in words is "twenty-two million, one hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 643 764 955 1146 1286 1719 1910 1929 2292 2572 2865 3215 3438 3820 3858 5730 5787 6430 6876 7716 8595 9645 11460 11574 12860 17190 19290 23148 28935 34380 38580 57870 115740 122813 245626 368439 491252 614065 736878 1105317 1228130 1473756 1842195 2210634 2456260 3684390 4421268 5526585 7368780 11053170 22106340