Search a number
-
+
22102740 = 2233511612
BaseRepresentation
bin101010001010…
…0001011010100
31112120221021000
41110110023110
521124241430
62105423300
7355604322
oct124241324
945527230
1022102740
1111527130
12749ab30
13476b55a
142d14d12
151e18e60
hex15142d4

22102740 has 144 divisors (see below), whose sum is σ = 76265280. Its totient is φ = 5270400.

The previous prime is 22102733. The next prime is 22102781. The reversal of 22102740 is 4720122.

It is a super-2 number, since 2×221027402 = 977062231015200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362310 + ... + 362370.

It is an arithmetic number, because the mean of its divisors is an integer number (529620).

Almost surely, 222102740 is an apocalyptic number.

22102740 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 22102740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38132640).

22102740 is an abundant number, since it is smaller than the sum of its proper divisors (54162540).

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

22102740 is a wasteful number, since it uses less digits than its factorization.

22102740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22102740 is about 4701.3551237914. The cubic root of 22102740 is about 280.6394399509.

Adding to 22102740 its reverse (4720122), we get a palindrome (26822862).

It can be divided in two parts, 2210 and 2740, that added together give a triangular number (4950 = T99).

The spelling of 22102740 in words is "twenty-two million, one hundred two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 61 66 90 99 108 110 122 132 135 165 180 183 198 220 244 270 297 305 330 366 396 495 540 549 594 610 660 671 732 915 990 1098 1188 1220 1342 1485 1647 1830 1980 2013 2196 2684 2745 2970 3294 3355 3660 3721 4026 5490 5940 6039 6588 6710 7442 8052 8235 10065 10980 11163 12078 13420 14884 16470 18117 18605 20130 22326 24156 30195 32940 33489 36234 37210 40260 40931 44652 55815 60390 66978 72468 74420 81862 90585 100467 111630 120780 122793 133956 163724 167445 181170 200934 204655 223260 245586 334890 362340 368379 401868 409310 491172 502335 613965 669780 736758 818620 1004670 1105137 1227930 1473516 1841895 2009340 2210274 2455860 3683790 4420548 5525685 7367580 11051370 22102740