Search a number
-
+
22113810 = 2345231187
BaseRepresentation
bin101010001011…
…0111000010010
31112121111110000
41110112320102
521130120220
62105550430
7355651515
oct124267022
945544400
1022113810
1111534484
1274a5416
1347735c4
142d18d7c
151e1c390
hex1516e12

22113810 has 80 divisors (see below), whose sum is σ = 62099136. Its totient is φ = 5635872.

The previous prime is 22113803. The next prime is 22113823. The reversal of 22113810 is 1831122.

It is a super-2 number, since 2×221138102 = 978041185432200, which contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 18037 + ... + 19223.

Almost surely, 222113810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22113810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31049568).

22113810 is an abundant number, since it is smaller than the sum of its proper divisors (39985326).

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

22113810 is a wasteful number, since it uses less digits than its factorization.

22113810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 22113810 is about 4702.5322965398. The cubic root of 22113810 is about 280.6862842198.

Adding to 22113810 its reverse (1831122), we get a palindrome (23944932).

The spelling of 22113810 in words is "twenty-two million, one hundred thirteen thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 270 345 405 414 621 690 810 1035 1187 1242 1863 2070 2374 3105 3561 3726 5935 6210 7122 9315 10683 11870 17805 18630 21366 27301 32049 35610 53415 54602 64098 81903 96147 106830 136505 160245 163806 192294 245709 273010 320490 409515 480735 491418 737127 819030 961470 1228545 1474254 2211381 2457090 3685635 4422762 7371270 11056905 22113810