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22413105 = 365111343
BaseRepresentation
bin101010101111…
…1111100110001
31120011201000000
41111133330301
521214204410
62120220213
7361336221
oct125377461
946151000
1022413105
1111719330
12760a669
1348498c0
142d96081
151e7adc0
hex155ff31

22413105 has 112 divisors (see below), whose sum is σ = 48476736. Its totient is φ = 9797760.

The previous prime is 22413091. The next prime is 22413107. The reversal of 22413105 is 50131422.

It is not a de Polignac number, because 22413105 - 27 = 22412977 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22413107) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 521214 + ... + 521256.

It is an arithmetic number, because the mean of its divisors is an integer number (432828).

Almost surely, 222413105 is an apocalyptic number.

It is an amenable number.

22413105 is an abundant number, since it is smaller than the sum of its proper divisors (26063631).

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

22413105 is a wasteful number, since it uses less digits than its factorization.

22413105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22413105 is about 4734.2480923585. The cubic root of 22413105 is about 281.9469116904.

Adding to 22413105 its reverse (50131422), we get a palindrome (72544527).

It can be divided in two parts, 22413 and 105, that multiplied together give a triangular number (2353365 = T2169).

The spelling of 22413105 in words is "twenty-two million, four hundred thirteen thousand, one hundred five".

Divisors: 1 3 5 9 11 13 15 27 33 39 43 45 55 65 81 99 117 129 135 143 165 195 215 243 297 351 387 405 429 473 495 559 585 645 715 729 891 1053 1161 1215 1287 1419 1485 1677 1755 1935 2145 2365 2673 2795 3159 3483 3645 3861 4257 4455 5031 5265 5805 6149 6435 7095 8019 8385 9477 10449 11583 12771 13365 15093 15795 17415 18447 19305 21285 25155 30745 31347 34749 38313 40095 45279 47385 52245 55341 57915 63855 75465 92235 104247 114939 135837 156735 166023 173745 191565 226395 276705 344817 407511 498069 521235 574695 679185 830115 1494207 1724085 2037555 2490345 4482621 7471035 22413105